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
> >
> > Sage seem to think that E has 4 points over the field with 1 element. 
>  Was
> > this intended?
> >
>
> When i=0, I would rather get an error message, e.g., Sage should I
> think raise a ValueError.  I.e., I don't think that there is an
> extension of "degree 0".  Do you agree?
>

Yes, I'm afraid that there is no extension of degree 0.  I agree!

Ken 

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