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

Author:
Francesco Pappalardi

Journal:
Proc. Amer. Math. Soc. **139** (2011), 2337-2341

MSC (2010):
Primary 11G20; Secondary 11G05

Published electronically:
December 6, 2010

MathSciNet review:
2784798

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Abstract | References | Similar Articles | Additional Information

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 where either is fixed or and is prime. Here, we let both and vary; our estimate is explicit and does not depend on the elliptic curve.

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Additional Information

**Francesco Pappalardi**

Affiliation:
Dipartimento di Matematica, Università Roma Tre, Largo San Leonardo Murialdo 1, I–00146, Roma, Italy

Email:
pappa@mat.uniroma3.it

DOI:
http://dx.doi.org/10.1090/S0002-9939-2010-10658-5

Keywords:
Elliptic curves,
finite fields

Received by editor(s):
December 23, 2009

Received by editor(s) in revised form:
June 13, 2010, and June 21, 2010

Published electronically:
December 6, 2010

Communicated by:
Ken Ono

Article copyright:
© Copyright 2010
American Mathematical Society