#18589: isogeny efficiency improvement
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Reporter: | Owner:
cremona | Status: needs_work
Type: | Milestone: sage-6.8
enhancement | Resolution:
Priority: major | Merged in:
Component: | Reviewers:
elliptic curves | Work issues:
Keywords: | Commit:
isogeny | 47ccfd587402b953c612fcd3cddaa541a6847bd3
Authors: John | Stopgaps:
Cremona |
Report Upstream: N/A |
Branch: |
u/cremona/18589 |
Dependencies: |
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Comment (by jdemeyer):
Replying to [comment:28 cremona]:
> Very good question! I think it always happens, since the operation f
--> mult(f) applies the multiplication-by-a map to the roots, so must take
f to another irreducible factor of the same degree; the fact being
checked is that the resulting cycle has the correct length, which is
(l-1)/2 divided by deg(f), so that the product of the f's in the cycle
gives the kernel polynomial. [I will delete the check.] I tried removing
the check and got run-time errors, so my mathematics must be wrong...
I also used the same thinking as you, and I also don't understand the
problem...
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Ticket URL: <http://trac.sagemath.org/ticket/18589#comment:30>
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