INDIVISIBILITY OF ORDERS OF SELMER GROUPS FOR MODULAR FORMS

DOI10.1142/S1793042109002080zbMath1189.11029MaRDI QIDQ3626320

Masataka Chida

Publication date: 22 May 2009

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

modular formSelmer group

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Cites Work

• Unnamed Item
• Fourier coefficients and modular forms of half-integral weight
• On certain types of \(p\)-adic representations of the Galois group of a local field; construction of a Barsott-Tate ring.
• On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
• Non-vanishing of quadratic twists of modular \(L\)-functions
• Indivisibility of class numbers of imaginary quadratic fields and orders of Tate-Shafarevich groups of elliptic curves with complex multiplication
• Selmer groups of quadratic twists of elliptic curves
• Motives for modular forms
• Nonvanishing theorems for automorphic \(L\)-functions on \(\text{GL} (2)\)
• on l-adic representations attached to modular forms II
• Congruences of modular forms and Selmer groups

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