#11041: Implement the number field method for computing 2-Selmer groups of
elliptic
curves natively in Sage.
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Reporter: weigandt | Owner: weigandt
Type: enhancement | Status: new
Priority: major | Milestone: sage-
Component: elliptic curves | feature
Keywords: descent, selmer, number | Resolution:
field, simon_two_descent | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by cremona):
I agree that there should be native 2-descent implemented which would work
over number fields (and be an alternative to mwrank over Q). I don't
understand the word "naive" in the description though.
There is a good description of the method in Simon's LMS JCM paper, and
rather a lot of it has been implemented by various people. I also have my
own Magma version which might be a useful starting point.
--
Ticket URL: <http://trac.sagemath.org/ticket/11041#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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