rst fixes in modular

src/sage/modular/hecke/module.py

@@ -627,8 +627,8 @@ def _eigen_nonzero_element(self, n=1):
 
     def _hecke_image_of_ith_basis_vector(self, n, i):
         r"""
-        Return `T_n(e_i)`, where `e_i` is the
-        `i`th basis vector of the ambient space.
+        Return `T_n(e_i)`, where `e_i` is the `i`-th basis vector
+        of the ambient space.
 
         EXAMPLES::
 

src/sage/modular/overconvergent/genus0.py

@@ -160,18 +160,14 @@
     3^9 + 2*3^12 + 3^15 + 3^17 + 3^18 + 3^19 + 3^20 + 2*3^22 + 2*3^23 + 2*3^27 + 2*3^28 + 3^32 + 3^33 + 2*3^34 + 3^38 + 2*3^39 + 3^40 + 2*3^41 + 3^44 + 3^45 + 3^46 + 2*3^47 + 2*3^48 + 3^49 + 3^50 + 2*3^51 + 2*3^52 + 3^53 + 2*3^54 + 3^55 + 3^56 + 3^57 + 2*3^58 + 2*3^59 + 3^60 + 2*3^61 + 2*3^63 + 2*3^64 + 3^65 + 2*3^67 + 3^68 + 2*3^69 + 2*3^71 + 3^72 + 2*3^74 + 3^75 + 3^76 + 3^79 + 3^80 + 2*3^83 + 2*3^84 + 3^85 + 2*3^87 + 3^88 + 2*3^89 + 2*3^90 + 2*3^91 + 3^92 + O(3^98)
     sage: efuncs[3].slope()
     9
-
------------
 """
-
-#*****************************************************************************
+# ****************************************************************************
 #       Copyright (C) 2008 William Stein <[email protected]>
 #                     2008-9 David Loeffler <[email protected]>
 #
 #  Distributed under the terms of the GNU General Public License (GPL)
 #                  https://www.gnu.org/licenses/
-#*****************************************************************************
-
+# ****************************************************************************
 from sage.matrix.all        import matrix, MatrixSpace, diagonal_matrix
 from sage.misc.verbose      import verbose
 from sage.misc.cachefunc    import cached_method

src/sage/modular/overconvergent/hecke_series.py

@@ -286,26 +286,27 @@ def random_solution(B,K):
 
     return a
 
+
 # AUXILIARY CODE: ECHELON FORM
 
-def ech_form(A,p):
+def ech_form(A, p):
     r"""
-    Returns echelon form of matrix ``A`` over the ring of integers modulo
+    Return echelon form of matrix ``A`` over the ring of integers modulo
     `p^m`, for some prime `p` and `m \ge 1`.
 
-    .. todo::
+    .. TODO::
 
         This should be moved to :mod:`sage.matrix.matrix_modn_dense` at some
         point.
 
     INPUT:
 
-    - ``A`` -- matrix over ``Zmod(p^m)`` for some m.
-    - ``p`` - prime p.
+    - ``A`` -- matrix over ``Zmod(p^m)`` for some m
+    - ``p`` - prime p
 
     OUTPUT:
 
-    - matrix over ``Zmod(p^m)``.
+    matrix over ``Zmod(p^m)``
 
     EXAMPLES::
 
@@ -316,7 +317,6 @@ def ech_form(A,p):
         [0 1 2]
         [0 0 0]
     """
-
     S = A[0, 0].parent()
     a = A.nrows()
     b = A.ncols()

src/sage/modular/pollack_stevens/sigma0.py

@@ -296,7 +296,9 @@ def matrix(self):
 
     def inverse(self):
         r"""
-        Return the inverse of self. This will raise an error if the result is not in the monoid.
+        Return the inverse of ``self``.
+
+        This will raise an error if the result is not in the monoid.
 
         EXAMPLES::
 
@@ -310,7 +312,7 @@ def inverse(self):
             ...
             TypeError: no conversion of this rational to integer
 
-        .. todo::
+        .. TODO::
 
             In an ideal world this would silently extend scalars to `\QQ` if
             the inverse has non-integer entries but is still in `\Sigma_0(N)`

src/sage/modular/pollack_stevens/space.py

@@ -658,15 +658,16 @@ def _an_element_(self):
 
         OUTPUT:
 
-        An element of the modular symbol space.
+        an element of the modular symbol space
 
-        Returns a "typical" element of this space; in this case the constant
-        map sending every element to an element of the coefficient module.
+        This returns a "typical" element of this space; in this case
+        the constant map sending every element to an element of the
+        coefficient module.
 
         .. WARNING::
 
-        This is not really an element of the space because it does not satisfy
-        the Manin relations.
+            This is not really an element of the space because it does
+            not satisfy the Manin relations.
 
         EXAMPLES::