- The data is stored in text files, indexed from $k=0$ to $k=2699$. The file $k$.txt contains all of the elliptic curves whose minimal short Weierstrass form $y^2 = x^3 + A x + B$ has naive height $H$ in the range: the $k$th file contains data for $k \cdot 10^7 < H \le (k+1) \cdot 10^7$. + The data is stored in text files, indexed from $k=0$ to $k=2699$. The file $k$.txt contains data for elliptic curves $y^2 = x^3 + A x + B$ with $k \cdot 10^7 < H \le (k+1) \cdot 10^7$, where $H:=\max(4|A|^3,27B^2)$.
diff --git a/lmfdb/elliptic_curves/templates/sw_ecdb.html b/lmfdb/elliptic_curves/templates/sw_ecdb.html index 4f7a352356..7d38d5b1cc 100644 --- a/lmfdb/elliptic_curves/templates/sw_ecdb.html +++ b/lmfdb/elliptic_curves/templates/sw_ecdb.html @@ -3,13 +3,13 @@ {% block content %}
- This dataset contains 136,924,520 {{KNOWL('ec.q', 'elliptic curves')}} over $\Q$ with {{ KNOWL('ec.q.conductor', 'conductor') }} up to $10^8$, divided into 115,821,258 {{KNOWL('ec.isogeny_class', 'isogeny classes')}}. It also contains 11,378,911 elliptic curves with prime conductor up to $10^{10}$, divided into 11,372,286 isogeny classes. Note that not curves are included within these conductor ranges; see SStein-Watkins for more details. + This dataset contains 136,924,520 {{KNOWL('ec.q', 'elliptic curves')}} over $\Q$ with {{ KNOWL('ec.q.conductor', 'conductor') }} up to $10^8$, divided into 115,821,258 {{KNOWL('ec.isogeny_class', 'isogeny classes')}}. It also contains 11,378,911 elliptic curves with prime conductor up to $10^{10}$, divided into 11,372,286 isogeny classes. Not every curve satisfying these conductor bounds is present in this dataset, only those that satisfy additional bounds on the discriminant and coefficients are included; see Stein-Watkins for details.
- The data for conductors $N$ up to $10^8$ is stored in 1000 text files, indexed from $k=0$ to $k=999$. The $k$th file contains data for $k \cdot 10^5 < N \le (k+1) \cdot 10^5$. Similarly, the data for prime conductors $p$ up to $10^{10}$ is stored in 100 text files, indexed from $k=0$ to $k=99$. The $k$th file contains data for $k \cdot 10^8 < p \le (k+1) \cdot 10^8$. + The data for conductors $N\le 10^8$ is stored in 1000 text files, indexed from $k=0$ to $k=999$, where the $k$th file contains data for $k \cdot 10^5 < N \le (k+1) \cdot 10^5$. Similarly, the data for prime conductors $p\le 10^{10}$ is stored in 100 text files, indexed from $k=0$ to $k=99$, where the $k$th file contains data for $k \cdot 10^8 < p \le (k+1) \cdot 10^8$.