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A Formula for the Number of Elliptic Curves with Exceptional Primes

Published online by Cambridge University Press:  04 December 2007

David Grant
David Grant
Affiliation:
Department of Mathematics, University of Colorado at Boulder, Boulder, CO 80309–0395, U.S.A. E-mail: grant@boulder.colorado.edu
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Abstract

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We prove a conjecture of Duke on the number of elliptic curves over the rationals of bounded height which have exceptional primes.

Keywords

elliptic curvesGalois representations
Type
Research Article
Information
Compositio Mathematica , Volume 122 , Issue 2 , June 2000 , pp. 151 - 164
Copyright
© 2000 Kluwer Academic Publishers