#13593: tighter upper bound on elliptic curve rank
-----------------------------------+--------------------------
Reporter: ohanar | Owner: cremona
Type: enhancement | Status: needs_work
Priority: minor | Milestone: sage-6.1
Component: elliptic curves | Resolution:
Keywords: | Merged in:
Authors: R. Andrew Ohana | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
-----------------------------------+--------------------------
Comment (by wuthrich):
A simple example:
{{{
sage: K.<i> = NumberField(x^2+1)
sage: E = EllipticCurve([2+3*i,0])
sage: E.simon_two_descent()
(0, 1, [(0 : 0 : 1), (0 : 0 : 1)])
sage: E.rank_bounds()
(0, 1)
sage: Em = magma(E)
sage: Em.TwoSelmerGroup()
Abelian Group isomorphic to Z/2
...
}}}
Simon's script returns indeed as the second argument the dimension of the
2-Selmer group and currently {{{rank_bounds}}} copies that. So the
supposed change here is indeed good. However, we need to add an example in
the doctest, too.
Furthermore, I will correct a few other things there, while I am at it.
--
Ticket URL: <http://trac.sagemath.org/ticket/13593#comment:6>
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/groups/opt_out.
