Hello,

I do not get the same generators as you, but at least it works

sage: F.<f> = GF(11^2,'f')
sage: ff2 = EllipticCurve([0+f*0,1+f*0])
sage: ff2
Elliptic Curve defined by y^2 = x^3 + 1 over Finite Field in f of size 11^2
sage: fg =ff2.gens()
sage: fg
[(3*f + 1 : 8*f + 6 : 1), (3 : 5*f + 1 : 1)]
sage: x,y,z=fg[0]
sage: z*y^2 == x**3 + z**3
True
sage: x,y,z=fg[1]
sage: z*y^2 == x**3 + z**3
True

Which version of Sage are you using?

Best,
Vincent

2014-10-01 9:16 UTC+02:00, 'Padmanabhan Tr' via sage-support
<sage-support@googlegroups.com>:
> I am working with Elliptic curve in extended field.  I tried to get points
> / order in the group.  I have copied a small code set & results from
> notebook. The points obtained are not in the EC; I have checked it using a
> Python program I coded for this.  Is it a bug / wrong use of codes by me?
>
> F.<f> = GF(11^2,'f')
> ff2 = EllipticCurve([0+f*0,1+f*0])
> ff2
> Elliptic Curve defined by y^2 = x^3 + 1 over Finite Field in f of size
> 11^2
> fg =ff2.gens()
> fg
> [(8*f : 6*f + 6 : 1), (5*f + 8 : 3*f + 6 : 1)]
>
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