Ticket #11094 (closed enhancement: duplicate)
Isogenies of elliptic curves over finite fields
| Reported by: | defeo | Owned by: | cremona |
|---|---|---|---|
| Priority: | minor | Milestone: | sage-duplicate/invalid/wontfix |
| Component: | elliptic curves | Keywords: | isogenies, finite fields |
| Cc: | Work issues: | ||
| Report Upstream: | N/A | Reviewers: | |
| Authors: | Merged in: | ||
| Dependencies: | Stopgaps: |
Description
Add algorithms to compute isogenies between elliptic curves over finite fields in any characteristic.
References:
[Cou94] Jean-Marc Couveignes, Quelques calculs en théorie des nombres, Ph.D. thesis, Université de Bordeaux, 1994.
[Cou96] Jean-Marc Couveignes, Computing l-Isogenies using the p-Torsion, ANTS-II: Proceedings of the Second International Symposium on Algorithmic Number Theory (London, UK), Springer-Verlag, 1996, pp. 59–65.
[LS08] Reynald Lercier and Thomas Sirvent, On Elkies subgroups of ell-torsion points in elliptic curves defined over a finite field, Journal de théorie des nombres de Bordeaux 20 (2008), no. 3, 783–797.
