doc tweaks

sagemath · Jan 31, 2022 · fbffbf3 · fbffbf3
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diff --git a/src/sage/schemes/elliptic_curves/ell_field.py b/src/sage/schemes/elliptic_curves/ell_field.py
@@ -1181,16 +1181,17 @@ def is_isogenous(self, other, field=None):
 
     def weierstrass_p(self, prec=20, algorithm=None):
         r"""
-        Computes the Weierstrass `\wp`-function of the elliptic curve.
+        Compute the Weierstrass `\wp`-function of this elliptic curve.
+
+        ALGORITHM: :func:`sage.schemes.elliptic_curves.ell_wp.weierstrass_p`
 
         INPUT:
 
-        - ``mprec`` - precision
+        - ``prec`` -- precision
 
-        - ``algorithm`` - string (default:``None``) an algorithm identifier
-                      indicating using the ``pari``, ``fast`` or ``quadratic``
-                      algorithm. If the algorithm is ``None``, then this
-                      function determines the best algorithm to use.
+        - ``algorithm`` -- string or ``None`` (default: ``None``):
+          a choice of algorithm among ``"pari"``, ``"fast"``, ``"quadratic"``;
+          or ``None`` to let this function determine the best algorithm to use.
 
         OUTPUT:
 

diff --git a/src/sage/schemes/elliptic_curves/ell_wp.py b/src/sage/schemes/elliptic_curves/ell_wp.py
@@ -53,20 +53,22 @@
 from sage.rings.laurent_series_ring import LaurentSeriesRing
 from sage.rings.power_series_ring import PowerSeriesRing
 
+# Note: Part of the documentation is replicated in ell_field.py for
+# users' convenience. Make sure to keep the two copies synchronized.
+
 def weierstrass_p(E, prec=20, algorithm=None):
     r"""
-    Computes the Weierstrass `\wp`-function on an elliptic curve.
+    Compute the Weierstrass `\wp`-function on an elliptic curve.
 
     INPUT:
 
     - ``E`` -- an elliptic curve
 
     - ``prec`` -- precision
 
-    - ``algorithm`` -- string (default:``None``) an algorithm identifier
-      indicating the ``pari``, ``fast`` or ``quadratic`` algorithm.
-      If the algorithm is ``None``, then this function determines the
-      best algorithm to use.
+    - ``algorithm`` -- string or ``None`` (default: ``None``):
+      a choice of algorithm among ``"pari"``, ``"fast"``, ``"quadratic"``;
+      or ``None`` to let this function determine the best algorithm to use.
 
     OUTPUT: