Inventiones mathematicae

, Volume 89, Issue 3, pp 561–567 | Cite as

The existence of infinitely many supersingular primes for every elliptic curve over ℚ

  • Noam D. Elkies


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  1. 1.
    Deuring, M.: Die Typen der Multiplikatorenringe elliptischer Funktionenkörper. Abh. Math. Sem. Hansischen Univ.14, 197–272 (1941)Google Scholar
  2. 2.
    Gross, B.H.: Arithmetic on elliptic curves with complex multiplication. Lect. Notes in Math., vol. 776. Berlin-Heidelberg-New York: Springer 1980Google Scholar
  3. 3.
    Gross, B.H., Zagier, D.: On singular moduli. J. Reine Angew. math.335, 191–220 (1985)Google Scholar
  4. 4.
    Lang, S., Trotter, H.: Frobenius distributions in GL2-extensions. Lect. Notes in Math., vol. 504. Berlin-Heidelberg-New York: Springer 1976Google Scholar
  5. 5.
    Schoof, R.: Elliptic curves over finite fields and the computation of square roots modp. Math. Comput.44, 483–494 (1985)Google Scholar
  6. 6.
    Silverman, J.: The arithmetic of elliptic curves. New York: Springer 1985Google Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Noam D. Elkies
    • 1
  1. 1.Department of MathematicsHarvard UniversityCambridgeUSA

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