Hasse Invariants for the Clausen Elliptic Curves
نویسندگان
چکیده
Gauss’s 2F1 ( 1 2 1 2 1 | x ) hypergeometric function gives periods of elliptic curves in Legendre normal form. Certain truncations of this hypergeometric function give the Hasse invariants for these curves. Here we study another form, which we call the Clausen form, and we prove that certain truncations of 3F2 ( 1 2 1 2 1 2 1 1 | x ) and 2F1 ( 1 4 3 4 1 | x ) in Fp[x] are related to the characteristic p Hasse invariants.
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