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Finding Gaussian integer points on elliptic curves

asked 2012-12-04 10:57:16 -0500

azerbajdzan gravatar image

updated 2015-01-13 11:13:18 -0500

FrédéricC gravatar image

How can I find all points whose coordinates are Gaussian integers? I know that finding all integer points for curves over rationals can be done by: E.S_integral_points([], both_signs=True) or E.integral_points(both_signs=True)

But these do not work with curve defined over "i"-extension of rationals.

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answered 2014-09-22 03:21:42 -0500

John Cremona gravatar image

Work is under way to provide this functionality (tostart with only integral points, not S-integral) at trac ticket #10973: http://trac.sagemath.org/ticket/10973 Finishing this has been on my to-do list for a while, part of the delay being in finding errors in published papers where the algorithms are described.

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Asked: 2012-12-04 10:57:16 -0500

Seen: 188 times

Last updated: Sep 22 '14