On certain abelian varieties obtained from new forms of weight 2 on Γ0(34) and Γ0(35)

DOI10.1017/S0027763000024739zbMath0339.14030MaRDI QIDQ4106337

Masao Koike

Publication date: 1976

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Arithmetic ground fields for abelian varieties (14K15) Automorphic forms, one variable (11F12) Algebraic theory of abelian varieties (14K05)

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On some examples of modular QM-abelian surfaces ⋮ Twists of modular forms and endomorphisms of abelian varieties ⋮ Courbes elliptiques ayant bonne réduction en dehors de 3 ⋮ Galois action on some ideal section points of the abelian variety associated with a modular form and its application

Cites Work

• On the fields generated by certain points of finite order on Shimura's elliptic curves
• Zeta-functions of elliptic curves of 2-power conductor
• On analytic families of polarized abelian varieties and automorphic functions
• Hecke operators on \(\Gamma_0(m)\)
• Class fields over real quadratic fields and Hecke operators
• On the factors of the Jacobian variety of a modular function field

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