On a theorem of Mestre and Schoof

Details On a theorem of Mestre and Schoof On a theorem of Mestre and Schoof

2008-12-31

arxiv.org/abs/0901.0120v3

Journal de Th\'eorie des Nombres de Bordeaux 22 (2010), 353-358

Mathematics

Number Theory

6 pages, to appear in Journal de Th\'eorie des Nombres de Bordeaux

Scientific paper

A well known theorem of Mestre and Schoof implies that the order of an
elliptic curve E over a prime field F_q can be uniquely determined by computing
the orders of a few points on E and its quadratic twist, provided that q > 229.
We extend this result to all finite fields with q > 49, and all prime fields
with q > 29.

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