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Hermite Normal form is the analogue of echelon form over the integers.
It's crucial for almost all efficient computations with Z-modules (infinite
abelian groups, finite abelian groups, lattices, m…
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Paste this code into a Sage session:
```
E = EllipticCurve('389a')
for p in prime_range(10000):
if p != 389:
try:
G = E.change_ring(GF(p)).abelian_group()
except Except…
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Why SAGE doesn't support the computation of normal subgroups has been raised on sage-support. I needed it myself for a research problem so, added it. While constructing an example for the docstring,…
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William, my student noticed some slow performance with elliptic curves
group law. I think there was a huge overhead in duplication:
sage: E = EllipticCurve([GF(101)(1),3])
sage: P = E([-1,1,1])
…
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E.torsion_subgroup() returns an abstract group. There is no way to get hold of the torsion points (without some hacking).
```
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Date: Mon, 25 Sep 2006 08:00:43…