On the exponent of the group of points of an elliptic curve over a finite field

Pappalardi, Francesco

doi:10.1090/S0002-9939-2010-10658-5

On the exponent of the group of points of an elliptic curve over a finite field
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Proc. Amer. Math. Soc. 139 (2011), 2337-2341 Request permission

Abstract:

We present a lower bound for the exponent of the group of rational points of an elliptic curve over a finite field. Earlier results considered finite fields $\mathbb {F}_{q^m}$ where either $q$ is fixed or $m=1$ and $q$ is prime. Here, we let both $q$ and $m$ vary; our estimate is explicit and does not depend on the elliptic curve.

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