On Shimura's elliptic curve over Q(√29)

Tetsuo NAKAMURA

doi:10.2969/jmsj/03640701

Tetsuo NAKAMURA

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ジャーナルフリー

1984 年 36 巻 4 号 p. 701-707

DOI https://doi.org/10.2969/jmsj/03640701

詳細

Published: 1984 Received: 1983/12/05 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 論文タイトル訂正内容: Wrong : On Shimura's elliptic curve over Q(√<129>)
Right : On Shimura's elliptic curve over Q(√29)

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) W. Casselman, On abelian varieties with many endomorphisms and a conjecture of Shimura, Invent. Math., 12 (1971), 225-236.
2) J.-P. Serre, Abelian l-adic representations and elliptic curves, Benjamin, New York, 1968.
3) J.-P. Serre, Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. Math., 15 (1972), 259-331.
4) G. Shimura, Introduction to the arithmetic theory of automorphic functions, Iwanami Shoten and Princeton Univ. Press, 1971.
5) G. Shimura, Class fields over real quadratic fields and Hecke operators, Ann. of Math., 95 (1972), 130-190.
6) M. Yamauchi, On the fields generated by certain points of finite order on Shimura's elliptic curves, J. Math. Kyoto univ., 14 (1974), 243-255.

Right : [1] W. Casselman, On abelian varieties with many endomorphisms and a conjecture of Shimura, Invent. Math., 12 (1971), 225-236.
[2] J. -P. Serre, Abelian l-adic representations and elliptic curves, Benjamin, New York, 1968.
[3] J. -P. Serre, Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. Math., 15 (1972), 259-331.
[4] G. Shimura, Introduction to the arithmetic theory of automorphic functions, Iwanami Shoten and Princeton Univ. Press, 1971.
[5] G. Shimura, Class fields over real quadratic fields and Hecke operators, Ann. of Math., 95 (1972), 130-190.
[6] M. Yamauchi, On the fields generated by certain points of finite order on Shimura's elliptic curves, J. Math. Kyoto univ., 14 (1974), 243-255.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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