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defining elliptic curve over general field

asked 2012-11-10 19:32:48 -0600

modnarandom gravatar image

updated 2012-11-10 19:49:33 -0600

How would one define an elliptic curve of over the algebraic closure of a field which is not a finite field or a number field? A problem I had was defining the elliptic curve over the algebraic closure of this field and I found that algebraic_closure() wasn't a valid option for the field that I tried to use. Thank you!

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answered 2013-12-11 03:14:52 -0600

John Cremona gravatar image

The only algebraically closed fields implemented in Sage are QQbar and CC. Before thinking about defining elliptic curves over a field one would have to implement the field! Useful candidates would be the algebraic closures of Fp and of Qp.

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Algebraic closures of finite fields should be coming soon, see Trac ticket #14990.

Peter Bruin gravatar imagePeter Bruin ( 2013-12-11 04:03:51 -0600 )edit

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Asked: 2012-11-10 19:32:48 -0600

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Last updated: Dec 11 '13