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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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A note on elliptic curves over finite fields
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by Hans-Georg Rück PDF
Math. Comp. 49 (1987), 301-304 Request permission

Abstract:

Let E be an elliptic curve over a finite field k and let $E(k)$ be the group of k-rational points on E. We evaluate all the possible groups $E(k)$ where E runs through all the elliptic curves over a given fixed finite field k.
References
  • Max Deuring, Die Typen der Multiplikatorenringe elliptischer Funktionenkörper, Abh. Math. Sem. Hansischen Univ. 14 (1941), 197–272 (German). MR 5125, DOI 10.1007/BF02940746
  • John Tate, Endomorphisms of abelian varieties over finite fields, Invent. Math. 2 (1966), 134–144. MR 206004, DOI 10.1007/BF01404549
  • J. Tate, Classes d’Isogènie des Variétés Abèliennes sur un Corps Fini (d’après T. Honda), Séminaire Bourbaki, Exposé 352, Benjamin, New York, 1968/69.
  • William C. Waterhouse, Abelian varieties over finite fields, Ann. Sci. École Norm. Sup. (4) 2 (1969), 521–560. MR 265369, DOI 10.24033/asens.1183
  • A. Well, Variétés Abèliennes et Courbes Algébriques, Hermann, Paris, 1948.
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Math. Comp. 49 (1987), 301-304
  • MSC: Primary 11G20; Secondary 14G15, 14K15
  • DOI: https://doi.org/10.1090/S0025-5718-1987-0890272-3
  • MathSciNet review: 890272