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Heegner point_exact is wrong for 5077a with discriminant -7 #9302

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williamstein opened this issue Jun 22, 2010 · 4 comments
Closed

Heegner point_exact is wrong for 5077a with discriminant -7 #9302

williamstein opened this issue Jun 22, 2010 · 4 comments

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@williamstein
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sage: E = EllipticCurve('5077a')
sage: E.heegner_discriminants(100)
[-3, -4, -7, -19, -40, -47, -55, -59, -71, -79, -84, -88]
sage: P = E.heegner_point(-7)
sage: P.numerical_approx(prec=100)
(0 : 1.0000000000000000000000000000 : 0)
sage: P.point_exact(prec=100)
(0 : 2 : 1)

But point_exact should be the point at infinity.

Component: elliptic curves

Author: Robert Bradshaw

Reviewer: William Stein

Merged: sage-4.5.2.alpha0

Issue created by migration from https://trac.sagemath.org/ticket/9302

@robertwb
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comment:1

Attachment: 9302-heegner.patch.gz

@loefflerd
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Mannequin

loefflerd mannequin commented Jun 29, 2010

Reviewer: William Stein

@loefflerd
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loefflerd mannequin commented Jun 29, 2010

Author: Robert Bradshaw

@qed777
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qed777 mannequin commented Jul 20, 2010

Merged: sage-4.5.2.alpha0

@qed777 qed777 mannequin removed the s: positive review label Jul 20, 2010
@qed777 qed777 mannequin closed this as completed Jul 20, 2010
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