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  • Cited by 4
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Shparlinski, Igor E. 2011. On the Sato–Tate conjecture on average for some families of elliptic curves. Forum Mathematicum, p. -.

    González-Jiménez, Enrique and Tornero, José M. 2010. On the ubiquity of trivial torsion on elliptic curves. Archiv der Mathematik, Vol. 95, Issue. 2, p. 135.

    Banks, William D. and Shparlinski, Igor E. 2009. Sato-Tate, cyclicity, and divisibility statistics on average for elliptic curves of small height. Israel Journal of Mathematics, Vol. 173, Issue. 1, p. 253.

    Cha, Byungchul 2005. Vanishing of some cohomology groups and bounds for the Shafarevich–Tate groups of elliptic curves. Journal of Number Theory, Vol. 111, Issue. 1, p. 154.


A Formula for the Number of Elliptic Curves with Exceptional Primes

  • David Grant (a1)
  • DOI:
  • Published online: 01 June 2000

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

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Compositio Mathematica
  • ISSN: 0010-437X
  • EISSN: 1570-5846
  • URL: /core/journals/compositio-mathematica
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