On the group orders of elliptic curves over finite fields

Everett W. Howe

Compositio Mathematica (1993)

  • Volume: 85, Issue: 2, page 229-247
  • ISSN: 0010-437X

How to cite


Howe, Everett W.. "On the group orders of elliptic curves over finite fields." Compositio Mathematica 85.2 (1993): 229-247. <http://eudml.org/doc/90198>.

author = {Howe, Everett W.},
journal = {Compositio Mathematica},
keywords = {number of isomorphism classes of elliptic curves},
language = {eng},
number = {2},
pages = {229-247},
publisher = {Kluwer Academic Publishers},
title = {On the group orders of elliptic curves over finite fields},
url = {http://eudml.org/doc/90198},
volume = {85},
year = {1993},

AU - Howe, Everett W.
TI - On the group orders of elliptic curves over finite fields
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 85
IS - 2
SP - 229
EP - 247
LA - eng
KW - number of isomorphism classes of elliptic curves
UR - http://eudml.org/doc/90198
ER -


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  2. [2] P. Deligne and M. Rapoport: Les schémas de modules des courbes elliptiques, pp. 143-316 in Modular Functions of One Variable II, Lecture Notes in Mathematics349, Springer-Verlag, New York, 1973. Zbl0281.14010MR337993
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  4. [4] Nicholas M.Katz and Barry Mazur: Arithmetic Moduli of Elliptic Curves, Annals of Mathematics Studies108, Princeton University Press, Princeton, New Jersey, 1985. Zbl0576.14026MR772569
  5. [5] Serge Lang: Algebra, Addison-Wesley Publishing Company, Menlo Park, California, 1984. Zbl0712.00001MR783636
  6. [6] H.W. Lenstra, Jr.: Factoring integers with elliptic curves, Ann. of Math.126 (1987) 649-673. Zbl0629.10006MR916721
  7. [7] Jean-Pierre Serre: Algebraic Groups and Class Fields, Graduate Texts in Mathematics117, Springer-Verlag, New York, 1988. Zbl0703.14001MR918564
  8. [8] Jean-Pierre Serre: Cohomologie Galoisienne, Lecture Notes in Mathematics5, Springer-Verlag, New York, 1964. Zbl0259.12011MR1324577
  9. [9] Joseph H.Silverman: The Arithmetic of Elliptic Curves, Graduate Texts in Mathematics106, Springer-Verlag, New York, 1986. Zbl0585.14026MR817210
  10. [10] André Weil:The field of definition of a variety, Amer. J. of Math.78 (1956) 509-524. Zbl0072.16001MR82726
  11. [11] André Weil: Sur les Courbes Algébriques et les Variétés qui s'en Déduisent, Hermann, Paris, 1948. Zbl0036.16001MR29522

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