diff --git a/spyder_kernels/console/kernel.py b/spyder_kernels/console/kernel.py
index 02967cf1..07c3927d 100644
--- a/spyder_kernels/console/kernel.py
+++ b/spyder_kernels/console/kernel.py
@@ -753,9 +753,17 @@ def update_syspath(self, new_path, prioritize):
         """
         Update the PYTHONPATH of the kernel.
 
-        `new_path` corresponds to the new state of the PYTHONPATH.
-        `prioritize` determines whether to prioritize PYTHONPATH in sys.path.
+        Parameters
+        ----------
+        new_path: list of str
+            List of PYTHONPATH paths.
+        prioritize: bool
+            Whether to place PYTHONPATH paths at the front (True) or
+            back (False) of sys.path.
+
 
+        Notes
+        -----
         A copy of sys.path is made at instantiation, which should be clean,
         so we can just prepend/append to the copy without having to explicitly
         remove old user paths. PYTHONPATH can just be overwritten.
diff --git a/spyder_kernels/console/start.py b/spyder_kernels/console/start.py
index 34634838..ce1440e2 100644
--- a/spyder_kernels/console/start.py
+++ b/spyder_kernels/console/start.py
@@ -16,9 +16,8 @@
 import sys
 import site
 
-# Remove current directory from sys.path to prevent kernel
-# crashes when people name Python files or modules with
-# the same name as standard library modules.
+# Remove current directory from sys.path to prevent kernel crashes when people
+# name Python files or modules with the same name as standard library modules.
 # See spyder-ide/spyder#8007
 # Inject it back into sys.path after all imports in this module but
 # before the kernel is initialized
diff --git a/spyder_kernels/console/tests/test_console_kernel.py b/spyder_kernels/console/tests/test_console_kernel.py
index 3618d1b4..ba748dcd 100644
--- a/spyder_kernels/console/tests/test_console_kernel.py
+++ b/spyder_kernels/console/tests/test_console_kernel.py
@@ -749,8 +749,8 @@ def test_runfile(tmpdir):
     sys.platform == 'darwin' and sys.version_info[:2] == (3, 8),
     reason="Fails on Mac with Python 3.8")
 def test_np_threshold(kernel):
-    """Test that setting Numpy threshold doesn't make the Variable Explorer
-    slow.
+    """
+    Test that setting Numpy threshold doesn't make the Variable Explorer slow.
     """
 
     cmd = "from spyder_kernels.console import start; start.main()"