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Jul 27, 2012 at 14:52 comment added Álvaro Lozano-Robledo A reference for gb's comment: Lang's "Elliptic Functions", Chapter 13, Section 2, Theorem 5.
Jul 14, 2012 at 19:18 comment added user18237 Perhaps it is worth noting that Frobenius can be a rational integer (necessarily $\pm q^{n/2}$) but of course this forces the curve to be supersingular.
Jul 14, 2012 at 18:08 comment added user18237 Never. An elliptic curve over a finite field always has an extra endomorphism, namely Frobenius.
Jul 14, 2012 at 17:56 history asked PeterP CC BY-SA 3.0