#10745: bug in elliptic curve gens()
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Reporter: rlm | Owner: cremona
Type: defect | Status: positive_review
Priority: major | Milestone:
Component: elliptic curves | Resolution:
Keywords: | Merged in:
Authors: Peter Bruin | Reviewers: Chris Wuthrich
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/pbruin/10745-elliptic_curve_gens | 42c563c4b4e834adb39d75b3b02e21ab1c3da372
Dependencies: #10735 | Stopgaps:
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Comment (by cremona):
Well, whatever the documentation says about gens over number fields, users
will assume that we are miracle-workers and hence that the gens are
complete over the extension. The only situation where this is probably
do-able is for quadratic extensions, assuming that we can find gens for
the twist. Somewhere there is code which, on given an elliptic curve over
a quadratic fields when evaluating its gens function, tries to see if the
curve is a base-change and if so uses this trick. I cannot remember of
anyone implemented this well enough to have been let in...
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Ticket URL: <http://trac.sagemath.org/ticket/10745#comment:26>
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