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Original Articles

Heuristics on Tate-Shafarevitch Groups of Elliptic Curves Defined over Q

Pages 191-196 | Published online: 04 Apr 2012

REFERENCES

  • Cohen , H. and Lenstra , H. W. Jr. 1984 . “Heuristics on class groups of number fields”. ” . In Number theory (Noordwijkerhout, 1983) Edited by: Jager , H. 33 – 62 . Berlin : Springer. . [Cohen and Lenstra 1984], Lecture notes in Math. 1068
  • Cremona , J. E. 1992 . Algorithms for modular elliptic curves, , Second edition Cambridge : Cambridge Univ. Press. . [Cremona 1992], 1997
  • Cremona , J. E. and Mazur , B. 2000 . “Visualizing elements in the Shafarevich-Tate group” . Experiment. Math. , 9 ( 1 ) : 13 – 28 . [Cremona and Mazur 2000]
  • Hall , P. 1938 . “A partition formula connected with Abelian groups” . Comment. Math. Helv. , 11 : 126 – 129 . [Hall 1938]
  • Silverman , J. H. 1986 . The arithmetic of elliptic curves vol. 106 , New York : Springer. . [Silverman 1986], Graduate Texts in Math.
  • Tenenbaum , G. 1995 . Introduction à la th éorieanalytique et probabiliste des nombres, , 2nd ed. Paris : Soc. math. France. . [Tenenbaum 1995], Cours spécialisés 1

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