#9322: long time in simon_two_descent for elliptic curves
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Reporter: cremona | Owner: AlexGhitza
Type: defect | Status: needs_work
Priority: major | Milestone: sage-6.2
Component: elliptic curves | Resolution:
Keywords: simon_two_descent | Merged in:
ecc2011 | Reviewers:
Authors: | Work issues:
Report Upstream: N/A | Commit:
Branch: | 594de7b4cabd1359de0c33748e17dc9209f4b61b
u/pbruin/9322-simon_two_descent_defaults| Stopgaps:
Dependencies: #11005, #15483, |
#16009, #16011 |
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Comment (by pbruin):
The failing example is the new doctest from #16009 in `gp_simon.py`; it
now returns `(0, 0, [])`.
{{{
sage: F.<a> = QuadraticField(29)
sage: x = QQ['x'].gen()
sage: K.<b> = F.extension(x^2-1/2*a+1/2)
sage: E = EllipticCurve(K,[1, 0, 5/2*a + 27/2, 0, 0])
sage: E.simon_two_descent(lim1=2, limtriv=3)
(1, 1, [((-369/50*a - 1987/50)*b + 539/50*a + 2897/50 : (-27193/250*a -
146439/250)*b + 39683/250*a + 213709/250 : 1)])
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/9322#comment:21>
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