#16009: Compute rank of elliptic curve defined over relative number field
-------------------------+-------------------------------------------------
Reporter: mmasdeu | Owner:
Type: | Status: new
enhancement | Milestone: sage-6.2
Priority: major | Keywords: descent, rank, elliptic
Component: elliptic | curve, relative number field
curves | Authors: mmasdeu
Merged in: | Report Upstream: N/A
Reviewers: | Branch:
Work issues: | Dependencies:
Commit: |
Stopgaps: |
-------------------------+-------------------------------------------------
Currently the following fails:
{{{
sage: x = QQ['x'].gen()
sage: F.<a> = QuadraticField(5)
sage: K.<b> = F.extension(x^2-3)
sage: E = EllipticCurve(K,[0,0,0,b,1])
sage: E.rank()
}}}
This is because the sage function wrapping around Denis Simon's two-
descent script does not consider relative number fields.
I propose an easy fix for it.
--
Ticket URL: <http://trac.sagemath.org/ticket/16009>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.
