#4453: elliptic curves -- heegner_index command gives nonsense when rank > 1
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Reporter: was | Owner:
Type: defect | Status: needs_review
Priority: minor | Milestone: sage-5.5
Component: elliptic curves | Resolution:
Keywords: | Work issues:
Report Upstream: N/A | Reviewers: John Cremona, Robert
Bradshaw
Authors: William Stein | Merged in:
Dependencies: | Stopgaps:
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Changes (by robertwb):
* status: needs_info => needs_review
Old 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
> }}}
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
}}}
Apply trac_4453-rebased.patch and 4453-doctest-fix.patch
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4453#comment:23>
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