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.
Pappalardi, F. (2011). On the exponents of the group of points of an Elliptic curve over a finite field. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 139(7), 2337-2341 [10.1090/S0002-9939-2010-10658-5].
On the exponents of the group of points of an Elliptic curve over a finite field
PAPPALARDI, FRANCESCO
2011-01-01
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.File in questo prodotto:
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