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Functionality for elliptic curves over number fields

asked 2013-03-19 19:44:22 +0200

anonymous user



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 12:58:09 +0200

barbules gravatar image

I reported it on sage trac.

this is trac ticket #14758

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answered 2013-12-10 05:34:52 +0200

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 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 19:44:22 +0200

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Last updated: Dec 10 '13