#13615: Extend elliptic curve isogenies to arbitrary prime degrees
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Reporter: cremona | Owner: John Cremona
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.12
Component: elliptic curves | Resolution:
Keywords: isogenies, sd51 | Merged in:
Authors: Kimi Tsukazaki, | Reviewers: John Cremona, Jenny
John Cremona | Cooley, Samuele Anni
Report Upstream: N/A | Work issues:
Branch: | Dependencies:
Stopgaps: |
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Changes (by {'newvalue': u'Kimi Tsukazaki, John Cremona', 'oldvalue': u'Kimi
Tsukazaki'}):
* status: needs_work => needs_review
* author: Kimi Tsukazaki => Kimi Tsukazaki, John Cremona
* milestone: sage-5.11 => sage-5.12
Old description:
> As of Sage 5.4, we can compute l-isogenies of elliptic curves only for
> l=2,3,5,7,13 (the ones for which X_0(l) has genus 0), together with some
> "sporadic" degrees which can occur over QQ.
>
> In this ticket we will add extra functionality to be able to compute
> l-isogenies for arbitrary prime degrees.
New description:
As of Sage 5.4, we can compute l-isogenies of elliptic curves only for
l=2,3,5,7,13 (the ones for which X_0(l) has genus 0), together with some
"sporadic" degrees which can occur over QQ.
In this ticket we will add extra functionality to be able to compute
l-isogenies for arbitrary prime degrees.
Apply: ell_curve_isogeny_split.patch, isogeny_genus_0.patch,
trac_13615_review.patch
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Ticket URL: <http://trac.sagemath.org/ticket/13615#comment:9>
Sage <http://www.sagemath.org>
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