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Division field for an elliptic curve #15610

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chriswuthrich opened this issue Dec 30, 2013 · 2 comments
Closed

Division field for an elliptic curve #15610

chriswuthrich opened this issue Dec 30, 2013 · 2 comments

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@chriswuthrich
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Currently there is a hidden function _division_field in gal_rep, that computes, for an elliptic curve over Q, the number field where all the p-torsion points are rational. This function should be made visible. One might also think about it for arbirary (number) fields.

Related to this is the proposed change #11905 to the function _splitting_field in the same file and the changes on #11271.

Component: elliptic curves

Keywords: division field, torsion points, galois representation

Reviewer: Jeroen Demeyer

Issue created by migration from https://trac.sagemath.org/ticket/15610

@jdemeyer
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jdemeyer commented Jan 6, 2014

Reviewer: Jeroen Demeyer

@jdemeyer
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jdemeyer commented Jan 6, 2014

comment:1

Any reason why this is not a duplicate of #11905?

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