Proceedings of the Japan Academy, Series A, Mathematical Sciences

An example of elliptic curve over $Q$ with rank $ \geqq 20$

Koh-ichi Nagao

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Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 69, Number 8 (1993), 291-293.

Dates
First available in Project Euclid: 19 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195511294

Digital Object Identifier
doi:10.3792/pjaa.69.291

Mathematical Reviews number (MathSciNet)
MR1249440

Zentralblatt MATH identifier
0794.14014

Citation

Nagao, Koh-ichi. An example of elliptic curve over $Q$ with rank $ \geqq 20$. Proc. Japan Acad. Ser. A Math. Sci. 69 (1993), no. 8, 291--293. doi:10.3792/pjaa.69.291. https://projecteuclid.org/euclid.pja/1195511294


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References

  • [1] J.-F. Mestre: Courbes elliptiques de rang> 11 sur Q(T). C. R. Acad. Sci, Paris, 313, ser. 1, 139-142 (1991).
  • [2] J.-F. Mestre: Courbes elliptiques de rang > 12 sur Q(T). ibid., 313, ser. 1, 171-174 (1991).
  • [3] J.-F. Mestre: Un exemple de courbes elliptiques sur Q de rang > 15. ibid., 314, ser. 1, 453-455 (1992).
  • [4] K. Nagao: Examples of elliptic curves over Q with rank > 17. Proc. Japan Acad., 68 A, 287-289 (1992).
  • [5] S. Fermiger: Un exemple de courbe elliptique definie sur Q de rang > 19. C. R. Acad Sci, Paris, 315, ser. 1, 719-722 (1992).
  • [6] J.-F. Mestre: Construction de courbes elliptiques sur Q de rang > 12. ibid., 295, ser. 1, 643-644 (1982).