#10745: bug in elliptic curve gens()
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Reporter: rlm | Owner: cremona
Type: defect | Status: new
Priority: major | Milestone:
Component: elliptic curves | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by wuthrich):
I modified the docstring of gens in #13593 . It now says there that the
function returns some points of infinite order. In fact Simon's script
just gives back what it came across during the various ways to search for
points. They are not lin. indep. for instance. And of course there is no
guarantee it finds any.
Maybe this ticket should now be rewritten as:
Implement {{{gens}}} correctly for elliptic curves over number fields.
Extract from the points given by 2-descent (in case it determines the
rank) a set of linearly indep. point and then saturate the Mordell-Weil
group.
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Ticket URL: <http://trac.sagemath.org/ticket/10745#comment:6>
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