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

Tetsuo NAKAMURA

doi:10.2969/jmsj/03640701

Tetsuo NAKAMURA

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1984 Volume 36 Issue 4 Pages 701-707

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

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Published: 1984 Received: December 05, 1983 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: TITLE Details: Wrong : On Shimura's elliptic curve over Q(√<129>)
Right : On Shimura's elliptic curve over Q(√29)

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: 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.

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