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fixes so the docs will tex
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williamstein committed Jun 18, 2008
1 parent 1b85be8 commit fa9086a
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4 changes: 2 additions & 2 deletions src/sage/modular/congroup.py
Original file line number Diff line number Diff line change
Expand Up @@ -1347,11 +1347,11 @@ def _reduce_cusp(self, c):
for the given cusp, and t is either 1 or -1, as explained
below.
The minimal representative for a cusp is the element in P^1(Q)
The minimal representative for a cusp is the element in $P^1(Q)$
in lowest terms with minimal denominator, and minimal
numerator for that denominator.
Two cusps $u1/v1$ and $u2/v2$ are equivalent modulo Gamma_H(N)
Two cusps $u1/v1$ and $u2/v2$ are equivalent modulo $\Gamma_H(N)$
if and only if
$v1 = h*v2 (mod N)$ and $u1 = h^(-1)*u2 (mod gcd(v1,N))$
or
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2 changes: 1 addition & 1 deletion src/sage/schemes/elliptic_curves/ell_finite_field.py
Original file line number Diff line number Diff line change
Expand Up @@ -1007,7 +1007,7 @@ def abelian_group(self, debug=False):
sage: E.cardinality(extension_degree=100)
1267650600228231653296516890625
This tests the patch for trac#3111, using 10 primes randomly selected:
This tests the patch for trac \#3111, using 10 primes randomly selected:
sage: E = EllipticCurve('389a')
sage: for p in [5927, 2297, 1571, 1709, 3851, 127, 3253, 5783, 3499, 4817]:
... G = E.change_ring(GF(p)).abelian_group()
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