#13615: Extend elliptic curve isogenies to arbitrary prime degrees
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Reporter: cremona | Owner: John Cremona
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.11
Component: elliptic curves | Resolution:
Keywords: isogenies, sd51 | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Dependencies:
Stopgaps: |
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Comment (by cremona):
# Files:
1. ell_curve_isogeny_split.patch
2. isogeny_genus_0.patch
# Description:
1. It splits the current "ell_curve_isogeny.py" to two files, namely
"ell_curve_isogeny.py" and "isogeny_genus_0.py".
2. It adds new isogeny codes in "isogeny_genus_0.py", including:
・l-isogeny computation using generic kernel polynomial for
l = 11,17,19,23,29,31,41,47,59,71. (from ch.5 in my thesis)
・l-isogeny computation using the l-division polynomial (from ch.3 in my
thesis)
# NOTE:
Please apply ell_curve_isogeny_split.patch first and
then apply isogeny_genus_0.patch.
--
Ticket URL: <http://trac.sagemath.org/ticket/13615#comment:3>
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