#11800: Problem with points at infinity in hyperelliptic curves
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Reporter: gaudry | Owner: AlexGhitza
Type: defect | Status: new
Priority: minor | Milestone: sage-4.7.2
Component: algebraic geometry | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author: Pierrick Gaudry, Paul
Zimmermann
Merged: | Dependencies:
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The function that lists the points on a hyperelliptic curve assumes that
the point [0, 1, 0] is always valid. This is wrong and creates the
following bug:
{{{
sage: R.<x> = GF(67)[]
sage: H = HyperellipticCurve(24*x^2 + 33*x + 43)
sage: H.points()
...
TypeError: Coordinates [0, 1, 0] do not define a point on Hyperelliptic
Curve over Finite Field of size 67 defined by y^2 = 24*x^2 + 33*x + 43
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11800>
Sage <http://www.sagemath.org>
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