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

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