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    • On the supersingular reduction of elliptic curves

      M Ram Murty

      Volume 97 Issue 1-3 December 1987 pp 247-250

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/097/01-03/0247-0250

    • 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

       
      Published
      December 1987

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