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Functionality for elliptic curves over number fields

asked 2013-03-19 13:44:22 -0500

anonymous user

Anonymous

Hi,

I am interested in computing the integral points and evaluating the L-function of an elliptic curve over number fields (of small degree over Q). Despite much searching, it's not clear to me what Sage is currently capable of doing in this regard. Any guidance would be greatly appreciated! Thanks!

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answered 2013-06-17 05:58:09 -0500

barbules gravatar image

I reported it on sage trac.

this is trac ticket #14758

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answered 2013-12-09 22:34:52 -0500

John Cremona gravatar image

Integral points on elliptic curves over number fields have been implemented and the (quite large and complicated) patch is on trac, being reviewed. See http://trac.sagemath.org/ticket/10973. Note that the trac ticket you created was closed as a duplicate.

For L-functions, nothing has yet been implemented, but the underlying functionality would be provided by Tim Dokchitser's ComputeL pari/gp package. Someone needs to write that interface!

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Asked: 2013-03-19 13:44:22 -0500

Seen: 157 times

Last updated: Dec 09 '13