#4290: stopgap function to turn plane curves of genus one into elliptic curves
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Reporter: ljpk | Owner: was
Type: defect | Status: new
Priority: minor | Milestone: sage-3.2
Component: algebraic geometry | Keywords:
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This is a function to turn plane curves of genus 1 with a known point into
objects of type EllipticCurve. It relies on MAGMA (as does
EllipticCurve_from_cubic) but will add a little functionality. Here is an
example of how it works:
{{{
sage: x,y,z=MPolynomialRing(QQ,Integer(3),'xyz').gens() # optional
sage: C=Curve(x^4+x^2*y^2-z^4)
sage: P=C(1,0,1)
sage: E=EllipticCurve_from_plane_curve(C,P)
sage: E
Elliptic Curve defined by y^2 = x^3 + 4*x over Rational Field
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4290>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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