#128: possible clash for EllipticCurve(j-invariant) signature
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Reporter: nbruin | Owner: was
Type: enhancement | Status: needs_work
Priority: minor | Milestone: sage-4.3.3
Component: elliptic curves | Keywords:
Author: John Cremona | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Comment(by nbruin):
I realised that when I looked at the code I noticed something that I think
is really not a good idea:
{{{
sage: R.<x,y> = QQ[]
sage: EllipticCurve( x^3+1 )
Elliptic Curve defined by y^2 = x^3 + 1 over Rational Field
}}}
In this case, the variety defined by {{{x^3+1}}} has a very clear affine
interpretation: 3 vertical lines. This is not an elliptic curve and should
not be accepted as valid input. It was only later that I realized that
it's this patch that introduces this use pattern. It shouldn't.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/128#comment:14>
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