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Another example

Everett Howe
05202010 23:45

This number of points is also reached by the hyperelliptic curve y^2 = x^7  x, which is the reduction of the Klein quartic in characteristic 7. Its automorphism group is the direct product of PGL(2,F_7) with the group of order 2 containing the hyperelliptic involution, so the automorphism group has order 672.


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