ASKSAGE: Sage Q&A Forum - Individual question feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Wed, 11 Dec 2013 04:03:51 -0600defining elliptic curve over general fieldhttps://ask.sagemath.org/question/9522/defining-elliptic-curve-over-general-field/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!Sat, 10 Nov 2012 19:32:48 -0600https://ask.sagemath.org/question/9522/defining-elliptic-curve-over-general-field/Answer by John Cremona for <p>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!</p>
https://ask.sagemath.org/question/9522/defining-elliptic-curve-over-general-field/?answer=15607#post-id-15607The 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.
Wed, 11 Dec 2013 03:14:52 -0600https://ask.sagemath.org/question/9522/defining-elliptic-curve-over-general-field/?answer=15607#post-id-15607Comment by Peter Bruin for <p>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.</p>
https://ask.sagemath.org/question/9522/defining-elliptic-curve-over-general-field/?comment=16550#post-id-16550Algebraic closures of finite fields should be coming soon, see Trac ticket #14990.Wed, 11 Dec 2013 04:03:51 -0600https://ask.sagemath.org/question/9522/defining-elliptic-curve-over-general-field/?comment=16550#post-id-16550