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Pseudoprime reductions of elliptic curves
Published online by Cambridge University Press: 01 May 2009
Abstract
Let b ≥ 2 be an integer and let E/ be a fixed elliptic curve. In this paper, we estimate the number of primes p ≤ x such that the number of points nE(p) on the reduction of E modulo p is a base b prime or pseudoprime. In particular, we improve previously known bounds which applied only to prime values of nE(p).
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 146 , Issue 3 , May 2009 , pp. 513 - 522
- Copyright
- Copyright © Cambridge Philosophical Society 2008
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