Hi Sage-support: At his request, the question below is posted for Norm
Hurt, who is not on this list. - David
I was reading a recent paper of Arakelian and Borges on Frobenius
nonclassicality of Fermat curves with respect to cubics, in which at
some point they state that the curve C: X^8 + Y^8 + Z^8 = 0 over F_q =
F_{13^2} has N_q(C) F_q-rational points equal to 512. I thought
this is something someone must have worked out in SAGE. However, I
could not find anything on a quick search of SAGE literature. There is
the work on hyper-elliptic curves but has anyone treated just the case
of Fermat curves over a finite field?
Sincerely,
Norm Hurt
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