#4453: elliptic curves -- heegner_index command gives nonsense when rank > 1
-------------------------------+--------------------------------------------
Reporter: was | Owner:
Type: defect | Status: needs_review
Priority: minor | Milestone: sage-4.7.2
Component: elliptic curves | Keywords:
Work_issues: | Upstream: N/A
Reviewer: John Cremona | Author: William Stein
Merged: | Dependencies:
-------------------------------+--------------------------------------------
Changes (by zimmerma):
* status: needs_info => needs_review
Old description:
> For any elliptic curve over QQ of rank >= 2 the heegner_index command
> must always give 0 as output. So the following 1 at the end is just
> wrong.
>
> {{{
> sage: E = EllipticCurve('389a')
> sage: D = E.heegner_discriminants_list(1)[0]
> sage: D
> -7
> sage: E.heegner_index(D)
> 1
> }}}
New description:
For any elliptic curve over QQ of rank >= 2 the heegner_index command must
always give +Infinity as output. So the following 1 at the end is just
wrong.
{{{
sage: E = EllipticCurve('389a')
sage: D = E.heegner_discriminants_list(1)[0]
sage: D
-7
sage: E.heegner_index(D)
1
}}}
--
Comment:
thanks Robert. Is the new description ok? I put back as "needs review" to
check if the doctests
pass.
Paul
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4453#comment:12>
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 post to this group, send email to [email protected].
To unsubscribe from this group, send email to
[email protected].
For more options, visit this group at
http://groups.google.com/group/sage-trac?hl=en.
