BiellipticLMFDB.m

//all genus 2 curves in the LMFDB whose automorphism group over Q contains C2 x C2
//automorphism group V4

labels1 := [*\
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"994009.b.994009.1"*];


data1 := [*\
[*[*0, 0, 1, 0, 1*], [*1, 0, 0, 1*]*],
[*[*-14, -9, 4, 0, -2*], [*1, 0, 0, 1*]*],
[*[*-5, 0, 7, 0, -3*], [*0, 1, 0, 1*]*],
[*[*7, 0, 0, 0, -2*], [*0, 1, 0, 1*]*],
[*[*-7, 0, 0, 0, 1*], [*0, 1, 0, 1*]*],
[*[*0, 1, 3, 3, 3, 1*], [*1, 0, 0, 1*]*],
[*[*-16, -6, 28, -9, -4, 1*], [*1, 0, 0, 1*]*],
[*[*54, -75, 25, 7, -5*], [*1, 0, 0, 1*]*],
[*[*0, 0, 1, 0, 2, 0, 1*], [*1*]*],
[*[*21, 0, 15, 0, 3*], [*0, 1, 0, 1*]*],
[*[*0, 1, -2, 2, -2, 1*], [*0, 1, 1*]*],
[*[*8, 12, 5, 0, 1, 1*], [*1, 0, 0, 1*]*],
[*[*-3, 0, 1, 0, 1*], [*0, 1, 0, 1*]*],
[*[*-45, 0, 25, 0, -5*], [*0, 1, 0, 1*]*],
[*[*15, -6, -23, 0, 10, 3*], [*0, 1, 1*]*],
[*[*20, 0, 13, 0, 3*], [*0, 0, 0, 1*]*],
[*[*-20, 0, 13, 0, -3*], [*0, 0, 0, 1*]*],
[*[*-3, -13, 4, 51, 4, -13, -3*], [*0, 1, 1*]*],
[*[*1, 3, 3, 1*], [*0, 1, 1, 1*]*],
[*[*0, 2, 2, 4, 2, 2*], [*1, 0, 0, 1*]*],
[*[*0, 1, 1, 2, 1, 1*], [*0, 1, 1*]*],
[*[*5, 0, 7, 0, 2*], [*0, 1, 0, 1*]*],
[*[*-90, 0, 39, 0, -6*], [*0, 1, 0, 1*]*],
[*[*-2, 0, 3, 0, -2*], [*0, 1, 0, 1*]*],
[*[*56, 0, 27, 0, 4*], [*0, 1, 0, 1*]*],
[*[*-1*], [*0, 1, 0, 1*]*],
[*[*0, 0, -1, 0, -1*], [*1, 1, 1, 1*]*],
[*[*1, 0, -2, 0, 0, 0, 1*], [**]*],
[*[*0, 0, 1, 1, 1*], [*1, 1, 1, 1*]*],
[*[*0, 0, 1, 0, 1*], [*1, 1, 1, 1*]*],
[*[*12, -36, 33, -6, -4, 1*], [*0, 0, 0, 1*]*],
[*[*-3, 0, 6, 0, -4, 0, 1*], [**]*],
[*[*1, 3, 3, 1, 1, 1*], [*0, 1, 1*]*],
[*[*15, -45, 37, 0, -7, -1*], [*0, 1, 1*]*],
[*[*0, 2, 1, 4, 1, 2*], [**]*],
[*[*0, 1, 13, 44, 13, 1*], [**]*],
[*[*0, 1, -2, -1, -2, 1*], [**]*],
[*[*0, 0, 0, 0, -1, 0, 1*], [*1*]*],
[*[*121, 0, 47, 0, 6*], [*0, 0, 0, 1*]*],
[*[*0, -1, 0, 0, -3, 3, -1*], [*1, 1, 1*]*],
[*[*0, 3, 4, 7, 4, 3*], [*0, 1, 1*]*],
[*[*0, 3, 28, 72, 28, 3*], [*0, 1, 1*]*],
[*[*-21, 0, 15, 0, -4*], [*0, 1, 0, 1*]*],
[*[*0, 0, 0, -1*], [*1, 1, 1, 1*]*],
[*[*-3, 9, -13, 11, -5, 1*], [*0, 0, 0, 1*]*],
[*[*34, 0, 24, 0, 4*], [*0, 1, 0, 1*]*],
[*[*-34, 0, 24, 0, -5*], [*0, 1, 0, 1*]*],
[*[*-17, 51, -43, 0, 7, 1*], [*0, 1, 1*]*],
[*[*-1, 0, 2, 0, -2, 0, 1*], [**]*],
[*[*15, 28, 62, 59, 62, 28, 15*], [*0, 1, 1*]*],
[*[*3, 0, 3, 0, 1*], [*0, 1, 0, 1*]*],
[*[*3, 0, 1, 0, -2*], [*0, 1, 0, 1*]*],
[*[*45, 0, 25, 0, 4*], [*0, 1, 0, 1*]*],
[*[*13, 0, 9, 0, 2*], [*0, 1, 0, 1*]*],
[*[*55, 0, -40, 0, 9, 0, -1*], [*0, 1, 0, 1*]*],
[*[*1, 3, 2, -1, -1*], [*0, 0, 0, 1*]*],
[*[*63, 0, -48, 0, 12, 0, -1*], [*0, 1*]*],
[*[*0, 1, -11, 32, -11, 1*], [**]*],
[*[*3, 0, -1, 4, 4, 1*], [*0, 1, 1*]*],
[*[*-1, 3, -2, -2*], [*0, 1, 1, 1*]*],
[*[*0, 1, 1, 4, 1, 1*], [*0, 1, 1*]*],
[*[*0, 0, -1, -1, -1*], [*1, 1, 1, 1*]*],
[*[*-1, 3, -6, 7, -5, 2*], [*0, 0, 0, 1*]*],
[*[*0, 1, 20, 104, 20, 1*], [*0, 1, 1*]*],
[*[*90, 0, 39, 0, 5*], [*0, 1, 0, 1*]*],
[*[*0, 1, 0, -4, 0, 1*], [*1, 0, 0, 1*]*],
[*[*-19, 0, 16, 0, -4*], [*0, 0, 0, 1*]*],
[*[*73, 0, 56, 0, 14, 0, 1*], [*0, 1, 0, 1*]*],
[*[*12, 0, 11, 0, 3*], [*0, 0, 0, 1*]*],
[*[*-12, 0, 11, 0, -3*], [*0, 0, 0, 1*]*],
[*[*1, -4, -5, 14, 3, -12, 4*], [*1*]*],
[*[*-80, 0, 189, 0, -149, 0, 39*], [*0, 0, 1*]*],
[*[*2, 0, 3, 0, 1*], [*0, 1, 0, 1*]*],
[*[*-56, 0, 27, 0, -5*], [*0, 1, 0, 1*]*],
[*[*1, 0, 0, 0, -1*], [*0, 1, 0, 1*]*],
[*[*-1, -3, -4, -3, -1*], [*0, 0, 0, 1*]*],
[*[*-83, 21, 38, -7, -7*], [*0, 0, 0, 1*]*],
[*[*11, 0, -17, 0, 6, 0, -1*], [*0, 1, 0, 1*]*],
[*[*-1, 0, -2, 0, 0, 0, 1*], [**]*],
[*[*-1, 0, 4, 0, -4, 0, 1*], [**]*],
[*[*17, 0, -27, 0, 11, 0, -1*], [*0, 1, 0, 1*]*],
[*[*0, 1, -11, 30, -11, 1*], [*0, 1, 1*]*],
[*[*-2, 0, 22, 0, -96, 0, 135*], [*1, 0, 1*]*],
[*[*3, 0, 6, 0, 4, 0, 1*], [**]*],
[*[*0, 1, 1, 1, 1, 1*], [*1, 0, 0, 1*]*],
[*[*-1, -4, 0, 6, -1, -3, 1*], [*0, 1, 1*]*],
[*[*-89, 0, 64, 0, -16, 0, 1*], [*0, 1, 0, 1*]*],
[*[*-1, 0, 1, 0, -1*], [*0, 1, 0, 1*]*],
[*[*39, 0, -32, 0, 8, 0, -1*], [*0, 1, 0, 1*]*],
[*[*0, 0, -1, 0, 2, 0, -1*], [*1*]*],
[*[*0, 0, 0, 0, -1, 0, -1*], [*1*]*],
[*[*-121, 0, 47, 0, -6*], [*0, 0, 0, 1*]*],
[*[*0, 5, 12, 17, 12, 5*], [*0, 1, 1*]*],
[*[*0, 1, 36, 330, 36, 1*], [*0, 1, 1*]*],
[*[*-10, -8, 1, 0, -1*], [*1, 1, 1, 1*]*],
[*[*65, 0, 48, 0, 12, 0, 1*], [*0, 1*]*],
[*[*-65, 0, 48, 0, -12, 0, 1*], [*0, 1*]*],
[*[*0, 2, 5, 7, 5, 2*], [*0, 1, 1*]*],
[*[*1, 3, 0, -5, -1, 2*], [*0, 1, 1*]*],
[*[*8, 12, 18, 13, 9, 3, 1*], [*1, 1, 1*]*],
[*[*17, 0, 24, 0, 9, 0, 1*], [*0, 1*]*],
[*[*-17, 0, 24, 0, -9, 0, 1*], [*0, 1*]*],
[*[*0, 1, -1, -3, -1, 1*], [*0, 1, 1*]*],
[*[*0, 1, 2, 3, 2, 1*], [*0, 1, 1*]*],
[*[*40, 65, 16, -13, 0, 3*], [*0, 1, 1*]*],
[*[*57, 0, 48, 0, 13, 0, 1*], [*0, 1, 0, 1*]*],
[*[*-2, -5, 1, 7, -1, -3, 1*], [*1*]*],
[*[*8, 0, 17, 0, 4*], [*0, 0, 0, 1*]*],
[*[*-8, 0, 17, 0, -4*], [*0, 0, 0, 1*]*],
[*[*1, 0, -1, 0, -1*], [*0, 1, 0, 1*]*],
[*[*-3, 0, 3, 0, -2*], [*0, 1, 0, 1*]*],
[*[*24, 0, 16, 0, 3*], [*0, 1, 0, 1*]*],
[*[*2, 6, 4, -2, -2*], [*0, 0, 0, 1*]*],
[*[*0, 1, 0, 2, 0, 1*], [*1, 0, 0, 1*]*],
[*[*-16, 0, 33, 0, -23, 0, 5*], [*1, 0, 1*]*],
[*[*-2, 6, -6, 2*], [*0, 0, 0, 1*]*],
[*[*31, -93, 77, 0, -14, -2*], [*0, 1, 1*]*],
[*[*8, 19, 39, 41, 39, 19, 8*], [*1, 0, 0, 1*]*],
[*[*41, 0, 24, 0, 4*], [*0, 1, 0, 1*]*],
[*[*-41, 0, 24, 0, -5*], [*0, 1, 0, 1*]*],
[*[*-1, 3, -3, 0, -1, 1*], [*0, 1, 1*]*],
[*[*0, 5, 26, 12, 26, 5*], [*1, 0, 0, 1*]*],
[*[*1, 1, 4, 2, 4, 1, 1*], [*0, 1, 1*]*],
[*[*-4, 0, -4, 0, -1*], [*0, 1, 0, 1*]*],
[*[*-200, 48, 49, -6, -5*], [*0, 0, 0, 1*]*],
[*[*-289, 0, 224, 0, -58, 0, 5*], [*0, 1*]*],
[*[*289, 0, 224, 0, 58, 0, 5*], [*0, 1*]*],
[*[*0, 1, 28, 201, 28, 1*], [*0, 1, 1*]*],
[*[*0, 6, -8, 14, -8, 6*], [*0, 1, 1*]*],
[*[*-7, 0, 25, 0, -32, 0, 13*], [*1, 0, 1*]*],
[*[*-351, 0, 95, 0, -9*], [*0, 1, 0, 1*]*],
[*[*7, 0, -8, 0, 3, -1*], [*0, 1, 1*]*],
[*[*75, 0, 48, 0, 6*], [*0, 1, 0, 1*]*],
[*[*-75, 0, 48, 0, -7*], [*0, 1, 0, 1*]*],
[*[*6, -13, 27, -28, 27, -13, 6*], [**]*],
[*[*-225, 0, 160, 0, -38, 0, 3*], [*0, 1*]*],
[*[*225, 0, 160, 0, 38, 0, 3*], [*0, 1*]*],
[*[*0, 0, 1, 0, 1, 0, 1*], [*1*]*],
[*[*4, 0, -8, -6, 0, 1*], [*1, 0, 0, 1*]*],
[*[*-10, 18, -23, 36, -23, 18, -10*], [*1, 0, 0, 1*]*],
[*[*-29, 0, 17, 0, -4*], [*0, 1, 0, 1*]*],
[*[*0, 0, 0, 1*], [*1, 0, 0, 1*]*],
[*[*0, 1, 0, -6, 5, -3, 1*], [*1, 1, 1*]*],
[*[*0, 0, 0, 0, 0, 0, 1*], [*1*]*],
[*[*1, 1, 3, 1, 3, 1, 1*], [*0, 1, 1*]*],
[*[*0, 1, 1, 3, 1, 1*], [**]*],
[*[*1, -2, 5, -5, 5, -2, 1*], [**]*],
[*[*0, 1, 1, 2, 1, 1*], [**]*],
[*[*-2, 0, 9, 0, -13, 0, 6*], [**]*],
[*[*0, 1, -1, 2, -1, 1*], [**]*],
[*[*-6, 0, 13, 0, -9, 0, 2*], [**]*],
[*[*-1, 0, 6, 0, -3*], [*0, 1, 0, 1*]*],
[*[*1, 0, 6, 0, 2*], [*0, 1, 0, 1*]*],
[*[*0, 1, 1, 4, 1, 1*], [**]*],
[*[*3, 6, 10, 9, 7, 3, 1*], [*0, 1, 1*]*],
[*[*26, -39, 14, 5, -4*], [*1, 0, 0, 1*]*],
[*[*0, 1, 7, 15, 7, 1*], [*0, 1, 1*]*],
[*[*-1, 0, 0, 0, 2, 0, 1*], [**]*],
[*[*-2, 0, 7, 0, -5, 0, 1*], [**]*],
[*[*414, 0, -152, 0, 18, 0, -1*], [*0, 1, 0, 1*]*],
[*[*69, 0, 24, 0, -6*], [*0, 1, 0, 1*]*],
[*[*0, 1, 4, 5, 4, 1*], [*1, 0, 0, 1*]*],
[*[*-2, 0, 5, 0, -4, 0, 1*], [*1*]*],
[*[*-7, 0, 6, 0, -2*], [*0, 0, 0, 1*]*],
[*[*-12, 0, -3, 0, 1*], [*0, 0, 0, 1*]*],
[*[*12, 0, -3, 0, -1*], [*0, 0, 0, 1*]*],
[*[*0, 1, 0, 1, 0, 1*], [*1, 0, 0, 1*]*],
[*[*11, 0, -1, 0, -2*], [*0, 1, 0, 1*]*],
[*[*40, -68, 34, 0, -6*], [*1, 1, 1, 1*]*],
[*[*1, 0, 1*], [*0, 1, 0, 1*]*],
[*[*12, 0, 9, 0, 2*], [*0, 1, 0, 1*]*],
[*[*7, 14, 23, 20, 15, 6, 2*], [*0, 1, 1*]*],
[*[*1, 3, 3, 1*], [*0, 0, 0, 1*]*],
[*[*0, 1, 0, -7, 0, 1*], [*1, 1, 1, 1*]*],
[*[*0, 2, -1, 4, -1, 2*], [**]*],
[*[*0, 1, -13, 44, -13, 1*], [**]*],
[*[*0, 1, 2, -1, 2, 1*], [**]*],
[*[*0, 0, -1, 2, -1*], [*1, 1, 1, 1*]*],
[*[*-10, 0, 8, 0, -3*], [*0, 1, 0, 1*]*],
[*[*-15, 0, 37, 0, -31, 0, 8*], [*0, 1, 0, 1*]*],
[*[*-2, -6, -8, -6, -2*], [*0, 0, 0, 1*]*],
[*[*19, 22, 30, 17, 11, 3, 1*], [*0, 1, 1*]*],
[*[*1, 30, 238, 616, -96, 2*], [*1, 0, 1*]*],
[*[*4, 0, 3, 0, -2*], [*0, 0, 0, 1*]*],
[*[*-4, 0, 3, 0, 2*], [*0, 0, 0, 1*]*],
[*[*8, 0, 6, 0, 2*], [*0, 0, 0, 1*]*],
[*[*-8, 0, 6, 0, -2*], [*0, 0, 0, 1*]*],
[*[*7, 0, -16, 0, 6, 0, -1*], [*0, 1, 0, 1*]*],
[*[*-1, -3, 0, 5, 0, -3, 1*], [*0, 1, 1*]*],
[*[*-7, 0, 26, 0, -28, 0, 5*], [*0, 1, 0, 1*]*],
[*[*-105, 0, 72, 0, -17, 0, 1*], [*0, 1, 0, 1*]*],
[*[*-1, 0, 2, 0, -2, 0, 1*], [*1*]*],
[*[*-3, 0, -4, 0, -1*], [*0, 0, 0, 1*]*],
[*[*136, 0, 49, 0, 6*], [*0, 0, 0, 1*]*],
[*[*-136, 0, 49, 0, -6*], [*0, 0, 0, 1*]*],
[*[*0, 1, 0, 0, 0, 1*], [*1, 0, 0, 1*]*],
[*[*0, 1, -3, 3, -3, 1*], [**]*],
[*[*1, 3, 1, -3, -2, 0, 1*], [**]*],
[*[*-57, 0, 48, 0, -14, 0, 1*], [*0, 1, 0, 1*]*],
[*[*2, 0, 2, 0, 1*], [*0, 0, 0, 1*]*],
[*[*-2, 0, 2, 0, -1*], [*0, 0, 0, 1*]*],
[*[*-1, 0, -1*], [*0, 1, 0, 1*]*],
[*[*-4, 0, 6, 0, -3*], [*0, 1, 0, 1*]*],
[*[*-32, 0, 31, 0, -10, 0, 1*], [*0, 0, 1*]*],
[*[*-17, 32, -43, 64, -43, 32, -17*], [*0, 1, 1*]*],
[*[*-3, 0, 12, 0, -17, 0, 8*], [*0, 1*]*],
[*[*-24, 0, 16, 0, -4*], [*0, 1, 0, 1*]*],
[*[*-132, 0, 80, 0, -9*], [*0, 1, 0, 1*]*],
[*[*1, 0, 4, 0, 4, 0, 1*], [*1*]*],
[*[*3, 8, -5, -22, 0, 15*], [*0, 1, 1*]*],
[*[*-1, 3, -1, -3, 1, 1*], [*0, 0, 0, 1*]*],
[*[*105, 0, 88, 0, 24, 0, 2*], [*0, 1, 0, 1*]*],
[*[*-2, 0, 18, 0, -65, 0, 75*], [*1, 0, 1*]*],
[*[*-13, 0, 9, 0, -3*], [*0, 1, 0, 1*]*],
[*[*-55, 0, 125, 0, -95, 0, 24*], [*0, 1*]*],
[*[*55, 0, 125, 0, 95, 0, 24*], [*0, 1*]*],
[*[*-10, 0, 35, 0, -43, 0, 17*], [*1, 0, 1*]*],
[*[*0, 1, 11, 32, 11, 1*], [**]*],
[*[*-6, 3, 10, 1, -2*], [*1, 0, 0, 1*]*],
[*[*-29, -1, 54, -33, 0, 1*], [*0, 1, 1, 1*]*],
[*[*4, 0, -4*], [*0, 1, 0, 1*]*],
[*[*0, 0, 2, 0, 4, 0, 1*], [*1*]*],
[*[*0, 0, -1, 0, 0, 0, 1*], [*1*]*],
[*[*-297, 0, 232, 0, -61, 0, 5*], [*0, 1, 0, 1*]*],
[*[*0, -1, -1, 3, 1, -3, 1*], [*1*]*],
[*[*-7, -21, 0, 35, 1, -20, 6*], [*0, 1, 1*]*],
[*[*39, 0, -16*], [*0, 1, 0, 1*]*],
[*[*351, 0, 95, 0, 8*], [*0, 1, 0, 1*]*],
[*[*0, -1, 1, 0, 1, -1*], [*1, 0, 0, 1*]*],
[*[*-56, 48, 47, -6, -7*], [*0, 0, 0, 1*]*],
[*[*0, 0, -1, 0, 1, 0, -1*], [*1*]*],
[*[*19, 0, 16, 0, 4*], [*0, 0, 0, 1*]*],
[*[*-1, 0, 6, 0, 2*], [*0, 1, 0, 1*]*],
[*[*-2, 0, -2, 0, -1*], [*0, 1, 0, 1*]*],
[*[*0, 0, -2, 1, -2*], [*1, 0, 0, 1*]*],
[*[*-1, 0, 3, 0, -3, 0, 1*], [*1*]*],
[*[*0, 0, -3, 0, 9, 0, 1*], [*1*]*],
[*[*-73, 0, 56, 0, -15, 0, 1*], [*0, 1, 0, 1*]*],
[*[*0, 1, -28, 194, -28, 1*], [*0, 1, 1*]*],
[*[*1, -2, 3, -3, 3, -2, 1*], [**]*],
[*[*51, -18, -73, 2, 31, 7, -1*], [*1, 0, 0, 1*]*],
[*[*169, 0, 136, 0, 36, 0, 3*], [*0, 1, 0, 1*]*],
[*[*0, 0, 0, 1*], [*1, 1, 1, 1*]*],
[*[*-2, -7, 2, 9, -2, -3, 1*], [*1*]*],
[*[*2, 4, 7, 7, 6, 3, 1*], [*1, 1, 1*]*],
[*[*-1, 0, 3, 0, -3, 0, 1*], [*0, 1*]*],
[*[*1, 0, 3, 0, 3, 0, 1*], [*0, 1*]*],
[*[*0, 0, 2, 0, 2*], [*1, 1, 1, 1*]*],
[*[*99, 0, -65, 0, 14, 0, -1*], [*0, 1*]*],
[*[*0, 2, 3, 5, 3, 2*], [*0, 1, 1*]*],
[*[*2, 0, 4, 0, 2*], [*0, 0, 0, 1*]*],
[*[*-2, 0, -2*], [*0, 0, 0, 1*]*],
[*[*-2, 0, 4, 0, -2*], [*0, 0, 0, 1*]*],
[*[*2, 0, -2*], [*0, 0, 0, 1*]*],
[*[*-1, 0, 2, 0, 0, 0, -1*], [**]*],
[*[*2, 0, 1, 0, -3, 0, 1*], [**]*],
[*[*-1, -3, 0, 5, 1, -2, -1*], [*0, 1, 1*]*],
[*[*-1, -2, -2, 1, 3, 3, 1*], [*1, 1, 1*]*],
[*[*0, 1, 0, 1, 0, 1*], [*0, 1, 1*]*],
[*[*0, 1, -1, 2, -1, 1*], [*1, 0, 0, 1*]*],
[*[*-69, 0, 24, 0, 5*], [*0, 1, 0, 1*]*],
[*[*2, 0, -1, 0, -1*], [*0, 1, 0, 1*]*],
[*[*94, 0, -8, 0, -3*], [*0, 1, 0, 1*]*],
[*[*-77, 78, 0, -17, 1, 1*], [*0, 1, 1*]*],
[*[*-5, -15, -16, -7, 0, 1*], [*0, 0, 0, 1*]*],
[*[*-8, 1, 1, -17, 1, 1, -8*], [*1, 1, 1, 1*]*],
[*[*66, 150, 112, 25, -2*], [*1, 0, 0, 1*]*],
[*[*-6, 0, 6, 0, -2*], [*0, 0, 0, 1*]*],
[*[*6, 0, 6, 0, 2*], [*0, 0, 0, 1*]*],
[*[*3, 0, -6, 0, 4, 0, -1*], [**]*],
[*[*6, 0, 9, 0, 5, 0, 1*], [**]*],
[*[*6, 0, -9, 0, 5, 0, -1*], [**]*],
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[*[*2, -1, -1, 4, -5, 3, -1*], [*0, 1, 1*]*],
[*[*-3, 19, -33, -23, 81, -17, 1*], [*1*]*],
[*[*-1, 0, 3, 0, -5, 0, 1*], [*1, 0, 1*]*],
[*[*6, 0, -6, 0, 1*], [*0, 0, 0, 1*]*],
[*[*-6, 0, -6, 0, -1*], [*0, 0, 0, 1*]*],
[*[*-1, 0, 3, 0, -2, 0, -2*], [*1*]*],
[*[*-1, 0, -3, 0, -2, 0, 2*], [*1*]*],
[*[*-29, -6, 60, 1, -36, 0, 7*], [*0, 1, 1*]*],
[*[*31, 0, 20, 0, 4*], [*0, 0, 0, 1*]*],
[*[*0, 1, 1, -3, 1, 1*], [*1, 0, 0, 1*]*],
[*[*4, -13, 2, 19, -5, -6, 2*], [*0, 1, 1*]*],
[*[*0, 1, -9, 23, -9, 1*], [**]*],
[*[*-3, 0, 13, 0, -20, 0, 10*], [*1*]*],
[*[*111, 0, -72, 0, 15, 0, -1*], [*0, 1*]*],
[*[*10, 0, 21, 0, 14, 0, 3*], [*1*]*],
[*[*-17, -2, 31, 7, -13, 0, 3*], [*0, 1, 1*]*],
[*[*79, 0, 181, 0, 138, 0, 35*], [*0, 1, 0, 1*]*],
[*[*-39, 0, 43, 0, -16, 0, 2*], [*1*]*],
[*[*-401, 0, 312, 0, -81, 0, 7*], [*0, 1*]*],
[*[*401, 0, 312, 0, 81, 0, 7*], [*0, 1*]*],
[*[*1, -9, 28, -33, 9*], [*0, 0, 0, 1*]*],
[*[*14, 0, 23, 0, 12, 0, 2*], [*1*]*],
[*[*14, 0, -23, 0, 12, 0, -2*], [*1*]*],
[*[*-12, -48, -47, 15, 20, -9, 1*], [*1*]*],
[*[*159, 0, -112, 0, 26, 0, -2*], [*0, 1*]*],
[*[*1, 0, 0, 0, 1*], [*0, 1, 0, 1*]*],
[*[*-1, 0, 0, 0, -2*], [*0, 1, 0, 1*]*],
[*[*0, 2, 3, 3, 3, 2*], [*1, 0, 0, 1*]*],
[*[*70, 0, 176, 0, 147, 0, 41*], [*0, 0, 1*]*],
[*[*-41, 0, 147, 0, -176, 0, 70*], [*0, 1*]*],
[*[*-17, 0, -8, 0, 7, 0, -1*], [*0, 1*]*],
[*[*6, 24, 49, 60, 49, 24, 6*], [*1, 0, 0, 1*]*],
[*[*7, 0, 16, 0, 12, 0, 3*], [*1, 0, 1*]*],
[*[*0, 0, -3, 1, -3*], [*1, 1, 1, 1*]*],
[*[*0, 1, 3, 1, 3, 1*], [*1, 0, 0, 1*]*],
[*[*7, 0, -14, 0, 9, 0, -2*], [*0, 1*]*],
[*[*3, -9, 16, -15, 10, -3, 1*], [*1*]*],
[*[*-14, 42, -53, 35, 3, -14, -3*], [*0, 1, 1*]*],
[*[*0, 1, -8, 19, -8, 1*], [**]*],
[*[*0, 1, 8, 19, 8, 1*], [**]*],
[*[*0, 0, -2, 0, 5, 0, -1*], [*1*]*],
[*[*100, 0, -65, 0, 14, 0, -1*], [*1*]*],
[*[*-1, 0, 5, 0, -10, 0, 6*], [*1*]*],
[*[*0, 3, -1, -27, 27, -9, 1*], [*1*]*],
[*[*-438, 0, 332, 0, -84, 0, 7*], [*1, 0, 1*]*],
[*[*0, 2, -5, 7, -5, 2*], [*1, 0, 0, 1*]*],
[*[*-14, -8, 8, 5*], [*1, 1, 1, 1*]*],
[*[*4, 0, 1, 0, -4, 0, 1*], [*1, 0, 1*]*],
[*[*4, 0, -2, 0, -4, 0, -1*], [*1, 0, 1*]*],
[*[*3, 0, -1, 0, -1*], [*0, 1, 0, 1*]*],
[*[*1, 0, -2, 0, -1, 0, 2*], [*0, 1*]*],
[*[*-1, 0, -2, 0, 1, 0, 2*], [*0, 1*]*],
[*[*446, 0, -337, 0, 84, 0, -7*], [*1, 0, 1*]*],
[*[*446, 0, 336, 0, 84, 0, 7*], [*1, 0, 1*]*],
[*[*0, 2, -1, 4, -1, 2*], [*1, 0, 0, 1*]*],
[*[*419, 0, 107, 0, 9*], [*0, 0, 0, 1*]*],
[*[*7, 0, -37, 0, 64, 0, -37*], [*0, 1*]*],
[*[*-421, 0, 107, 0, -9*], [*0, 0, 0, 1*]*],
[*[*-1, 0, 2, -5, 5, -3, 1*], [*1*]*],
[*[*1, 0, 4, 0, 4, 0, -1*], [*0, 1*]*],
[*[*19, 0, 11, 0, -1, 0, -1*], [*0, 1*]*],
[*[*-1, -9, -27, -27, 1, 3*], [*0, 0, 0, 1*]*],
[*[*15, 0, 35, 0, 27, 0, 7*], [*1*]*],
[*[*103, 0, -64, 0, 12, 0, -1*], [*0, 1, 0, 1*]*],
[*[*2, -6, 11, -11, 8, -3, 1*], [**]*],
[*[*0, 1, 9, 22, 9, 1*], [*0, 1, 1*]*],
[*[*1, 0, -3*], [*0, 1, 0, 1*]*],
[*[*12, 20, 31, 24, 17, 6, 2*], [*1, 1, 1*]*],
[*[*2, -4, -1, 5, 0, -3, -1*], [**]*],
[*[*-2, -4, 1, 5, 0, -3, 1*], [**]*],
[*[*0, 0, -7, 16, -7*], [*1, 0, 0, 1*]*],
[*[*-2, -1, 4, -7, 6, -3, 1*], [**]*],
[*[*-1, 3, -1, -3, 0, 2*], [*0, 0, 0, 1*]*],
[*[*-2, 0, 8, 0, -9, 0, 3*], [*1*]*],
[*[*199, 0, -144, 0, 34, 0, -3*], [*0, 1, 0, 1*]*],
[*[*1, 30, 303, 1062, 303, 30, 1*], [*0, 1, 1*]*],
[*[*0, 1, -7, 10, -7, 1*], [*0, 1, 1*]*],
[*[*-497, 0, 360, 0, -87, 0, 7*], [*0, 1*]*],
[*[*497, 0, 360, 0, 87, 0, 7*], [*0, 1*]*],
[*[*1, 0, -2, 0, -3, 0, -1*], [*0, 1*]*],
[*[*39, 0, -34, 0, 10, 0, -1*], [*1*]*],
[*[*3, 27, 86, 111, 47, 6*], [*0, 0, 0, 1*]*],
[*[*18, -63, 51, 21, -19, -9, -1*], [*1*]*],
[*[*-1, -3, 1, 7, 0, -4, 1*], [*0, 1, 1*]*],
[*[*2, 0, -1*], [*0, 1, 0, 1*]*],
[*[*-17, 0, 43, 0, -29, 0, 1*], [*0, 1, 0, 1*]*],
[*[*17, 0, 43, 0, 28, 0, 1*], [*0, 1, 0, 1*]*],
[*[*5, 0, -11, 0, 8, 0, -2*], [*0, 1*]*],
[*[*-1, 0, 5, 0, -12, 0, 10*], [*1*]*],
[*[*50, 0, -42, 0, 11, 0, -1*], [*1, 0, 1*]*],
[*[*1, -3, -4, 11, 2, -9, 3*], [*1*]*],
[*[*0, -1, -2, 5, 0, -3, 1*], [*1*]*],
[*[*-2, 0, -8, 0, 13, 0, -5*], [*1, 0, 1*]*],
[*[*163, 0, 60, 0, 7*], [*0, 0, 0, 1*]*],
[*[*1, -2, 4, -5, 5, -3, 1*], [*1*]*],
[*[*0, 0, -3, 0, 3, 0, -1*], [*1*]*],
[*[*-313, 0, 240, 0, -62, 0, 5*], [*0, 1, 0, 1*]*],
[*[*3, 0, 3, 0, -2*], [*0, 0, 0, 1*]*],
[*[*-1, 0, 0, 0, 2, 0, -1*], [*1*]*],
[*[*-2, 35, -210, 464, -210, 35, -2*], [*0, 1, 1*]*],
[*[*4, 9, 16, 16, 13, 6, 2*], [*0, 1, 1*]*],
[*[*16, 35, 60, 56, 43, 18, 6*], [*0, 1, 1*]*],
[*[*-1, -3, -5, -5, -1, 1*], [*0, 0, 0, 1*]*],
[*[*-2, 6, -11, 11, -7, 2, 1*], [*0, 1, 1*]*],
[*[*-22, 0, 15, 0, -4*], [*0, 1, 0, 1*]*],
[*[*-1, 3, 1, -7, 0, 4*], [*0, 0, 0, 1*]*],
[*[*1, 3, -1, -7, -4*], [*0, 0, 0, 1*]*],
[*[*-1, -3, -7, -9, -4*], [*0, 0, 0, 1*]*]*];


//automorphism group D4

labels2 := [*\
"400.a.409600.1",
"576.b.147456.1"*];


data2 := [*\
[*[*1, 0, 4, 0, 4, 0, 1*], [**]*],
[*[*1, 0, 2, 0, 2, 0, 1*], [**]*]*];


//automorphism group D6

labels3 := [*\
"196.a.21952.1",
"38416.a.614656.1",
"614656.a.614656.1"*];


data3 := [*\
[*[*1, 3, 6, 7, 6, 3, 1*], [*0, 1, 1*]*],
[*[*1, -3, -1, 7, -1, -3, 1*], [**]*],
[*[*-1, -3, 1, 7, 1, -3, -1*], [**]*]*];


///////

data := data1 cat data2 cat data3;
labels := labels1 cat labels2 cat labels3;




function make_data()
    R<x>:=PolynomialRing(Rationals());
    return [HyperellipticCurve(R![c:c in r[1]],R![c:c in r[2]]):r in data];
end function;


bielliptic_curves := make_data();


successful_indices := [];
failed_rank := [];

for i in [1..#bielliptic_curves] do
	i;
	X := SimplifiedModel(bielliptic_curves[i]);
	D := Degree2Subcovers(X);
	E1:=D[1][1];
	E2:=D[2][1];
	try 
		r1 := RankBounds(MinimalModel(E1));
		r2 := RankBounds(MinimalModel(E2));
		//if r1 eq 1 and r2 eq 1 then
		if r1+r2 eq 2 then
			successful_indices := successful_indices cat [i];
		end if;
	catch e
	"failed rank computation";
	failed_rank := failed_rank cat [i];
	end try;	
end for;