Ask Your Question
0

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!

edit retag flag offensive close merge delete

1 answer

Sort by ยป oldest newest most voted
0

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.

edit flag offensive delete link more

Comments

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

Your Answer

Please start posting anonymously - your entry will be published after you log in or create a new account.

Add Answer

Question Tools

Stats

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

Seen: 143 times

Last updated: Dec 11 '13