• On the supersingular reduction of elliptic curves

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    • Keywords


      Supersingular reduction; elliptic curves

    • Abstract


      Let a∈Q and denote byEa the curvey2 = (x2+ l)(x + a). We prove thatEa(Fp) is cyclic for infinitely many primesp. This fact was known previously only under the assumption of the generalized Riemann hypothesis.

    • Author Affiliations


      M Ram Murty1

      1. Department of Mathematics, McGill University, 805 Sherbrooke Street West, Montreal - H3A2K6, Canada
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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