Re: [sage-support] elliptic curve extension degree

2012-03-23 Thread Ken Ribet
On Thursday, March 22, 2012 2:44:43 PM UTC-7, William wrote: On Thu, Mar 22, 2012 at 5:22 PM, Kenneth A. Ribet wrote: Consider this short sage transcript: sage: E=EllipticCurve(GF(3),[1,1]) sage: for i in range(3): ... print i,E.order(extension_degree=i) 0 4 1 4 2 16

Re: [sage-support] elliptic curve extension degree

2012-03-23 Thread John Cremona
It's my fault as I wrote the code. if the given degree d fails the test d1 then it's assumed to be 1 (even if d0!!). As William says, raising an error would be better, so this should be fixed. John On Friday, March 23, 2012 6:08:36 PM UTC, Ken Ribet wrote: On Thursday, March 22, 2012

[sage-support] elliptic curve extension degree

2012-03-22 Thread Kenneth A. Ribet
Consider this short sage transcript: sage: E=EllipticCurve(GF(3),[1,1]) sage: for i in range(3): ... print i,E.order(extension_degree=i) 0 4 1 4 2 16 Sage seem to think that E has 4 points over the field with 1 element. Was this intended? Ken -- To post to this group, send email to

Re: [sage-support] elliptic curve extension degree

2012-03-22 Thread William Stein
On Thu, Mar 22, 2012 at 5:22 PM, Kenneth A. Ribet kri...@gmail.com wrote: Consider this short sage transcript: sage: E=EllipticCurve(GF(3),[1,1]) sage: for i in range(3): ...       print i,E.order(extension_degree=i) 0 4 1 4 2 16 Sage seem to think that E has 4 points over the field