#13084: Weierstrass form for toric elliptic curves
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Reporter: vbraun | Owner: AlexGhitza
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.1
Component: algebraic geometry | Keywords:
Work issues: | Report Upstream: N/A
Reviewers: | Authors: Volker Braun
Merged in: | Dependencies:
Stopgaps: |
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This ticket implements the Weierstrass form for anticanonical
hypersurfaces in toric surfaces defined by reflexive polygons:
{{{
sage: from sage.schemes.toric.weierstrass import WeierstrassForm
sage: R.<x,y> = QQ[]
sage: cubic = x^3 + y^3 + 1
sage: WeierstrassForm(cubic) # cubic in P^2
(0, -27/4)
sage: WeierstrassForm(x^4 + y^2 + 1) # in P^2[112]
(-4, 0)
sage: WeierstrassForm(x^2*y^2 + x^2 + y^2 + 1) # in P^1xP^1
(-16/3, 128/27)
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13084>
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