Primes Generated by Elliptic Curves

Abstract

For a rational elliptic curve in Weierstrass form, Chudnovsky and Chudnovsky considered the likelihood that the denominators of the x-coordinates of the multiples of a rational point are squares of primes. Assuming the point is the image of a rational point under an isogeny, we use Siegel’s Theorem to prove that only finitely many primes will arise. The… (More)

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Cite this paper

@inproceedings{Everest1995PrimesGB, title={Primes Generated by Elliptic Curves}, author={Graham Everest and Victor Miller and N. M. Stephens and Felipe Voloch}, year={1995} }