#11474: Elliptic curves should be unique parent structures
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Reporter: SimonKing | Owner: cremona
Type: defect | Status: new
Priority: major | Milestone: sage-4.7.1
Component: elliptic curves | Keywords: unique parent
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Description changed by SimonKing:
Old description:
> While elliptic curves are derived from `sage.structure.parent.Parent`,
> they violate the "unique parent" condition:
> {{{
> sage: K = GF(1<<50,'t')
> sage: j = K.random_element()
> sage: from sage.structure.parent import Parent
> sage: isinstance(EllipticCurve(j=j),Parent)
> True
> sage: EllipticCurve(j=j) is EllipticCurve(j=j)
> False
> sage: EllipticCurve(j=j) == EllipticCurve(j=j)
> True
> }}}
>
> People on [http://groups.google.com/group/sage-
> nt/browse_thread/thread/ec8d0ad14a819082 sage-nt] seem to agree that it
> is a bug.
New description:
While elliptic curves are derived from `sage.structure.parent.Parent`,
they violate the "unique parent" condition:
{{{
sage: K = GF(1<<50,'t')
sage: j = K.random_element()
sage: from sage.structure.parent import Parent
sage: isinstance(EllipticCurve(j=j),Parent)
True
sage: EllipticCurve(j=j) is EllipticCurve(j=j)
False
sage: EllipticCurve(j=j) == EllipticCurve(j=j)
True
}}}
Some people on [http://groups.google.com/group/sage-
nt/browse_thread/thread/ec8d0ad14a819082 sage-nt] originally agreed that
it is a bug. Other people think it isn't...
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11474#comment:3>
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