#10973: Integral points on elliptic curves over number fields
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Reporter: justin | Owner: cremona
Type: enhancement | Status: positive_review
Priority: major | Milestone:
Component: elliptic curves | Keywords: sd32
Work_issues: | Upstream: N/A
Reviewer: | Author: Justin Walker, Aly Deines,
Jennifer Balakrishnan
Merged: | Dependencies:
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Comment(by cremona):
Replying to [comment:20 cremona]:
> Replying to [comment:18 cremona]:
> > I am testing this now. It looks as if all the points raised in
William's last report have been dealt with.
> >
>
> The first curve where Sage-4.7.2 fails to find the same number of
integral points as Magma V2.17-9 is 2082a1 where Sage-4.7.2 finds
x-coordinates -11,-2,4,13 but not 507525709 (!). But the new version does
find that last one.
>
> I will carry on testing, but there is no need to delay merging this
(expect perhaps if I find a curve for which the new code fails to find all
known points).
For all curves of conductor up to 10000, there are precisely 3 where
Sage-4.7.2 misses integral points compared with Magma V2.17-9, namely
2082a1, 6104b1, 8470g1, 8470g2; in each case just one point is missed.
And the new code agrees with Magma in all these cases. Regarding timings,
up to 10000 Sage-4.7.2 took 157m while Magma took 943m; that may be an
unfair comparison though since Sage took generators from the DB while
Magma (I think) computed them from scratch. I will redo this with the
current patch applied.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10973#comment:21>
Sage <http://www.sagemath.org>
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