#6583: Implement two descent over QQ natively in Sage using ratpoints
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Reporter: rlm | Owner: rlm
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.2.1
Component: elliptic curves | Keywords:
Work_issues: | Author: Robert Miller
Reviewer: | Merged:
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Comment(by cremona):
A couple of follow-up points to Chris, from an independent observer:
first, can we have some motivation, such as examples where this works
better than calling mwrank? There will certainly be curves for which the
performance is worse (where mwrank would use a second descent). I suspect
that any enhanced perofrmance comes from the use of the more recent
version of ratpoints than mwrank uses.
Secondly, the isogeny patch I am finishing up will allow 2-isogenies (and
more) to be easily constructed (which they almost can already). A very
interesting project would be to take any (cyclic) isogeny between elliptic
curves, defined over QQ, and return an appropriate Selmer group.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6583#comment:10>
Sage <http://www.sagemath.org>
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