#15483: Simon 2-descent gives RuntimeError for an elliptic curve over a
quadratic
field
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Reporter: pbruin | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.1
Component: elliptic curves | Resolution:
Keywords: simon_two_descent | Merged in:
Authors: | Reviewers:
Report Upstream: Not yet reported upstream; | Work issues:
Will do shortly. | Commit:
Branch: | Stopgaps:
Dependencies: |
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Changes (by wuthrich):
* upstream: N/A => Not yet reported upstream; Will do shortly.
Comment:
Lorenzini reported me a similar bug and I had a look. I now believe that
this is a bug in Simon's script as I can reproduce it outside sage. I used
the version of his file dated 06/04/2011, which is the newest I found on
the web, while sage has one dated the 25/03/2009. So besides that bug, the
file needs to be updated anyway. I tried both in sage's gp (2.5.5) and the
current alpha (2.6.1).
I send an email to Denis and see if and how fast we can hope for a
solution of this. Otherwise, I may at least update the script, later.
Lorenzini's example is a bit simpler:
{{{
R.<t> = QQ[]
L.<g> = NumberField(t^3 - 9*t^2 + 13*t - 4)
E1 = EllipticCurve(L,[1-g*(g-1),-g^2*(g-1),-g^2*(g-1),0,0])
E1.rank()
}}}
--
Ticket URL: <http://trac.sagemath.org/ticket/15483#comment:3>
Sage <http://www.sagemath.org>
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