Congruence formula for certain dihedral twists

DOI10.1090/S0002-9947-2014-06232-6zbMath1315.14042MaRDI QIDQ5246971

R. Sujatha, Sudhanshu Shekhar

Publication date: 22 April 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

elliptic curveGalois representationmodular formsperiods of modular formsspecial values of \(L\)-seriescongruences for modular forms

Mathematics Subject Classification ID

Elliptic curves (14H52) Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11) Galois representations (11F80)

Related Items (3)

Congruences modulo $p$ between $\rho $-twisted Hasse-Weil $L$-values ⋮ Heegner cycles and congruences between anticyclotomic \(p\)-adic \(L\)-functions over CM-extensions ⋮ Controlling \(\lambda\)-invariants for the double and triple product \(p\)-adic \(L\)-functions

Uses Software

• ecdata

Cites Work

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• Special values of L -functions and false Tate curve extensions
• Computations in non-commutative Iwasawa theory
• Congruences between modular forms: Raising the level and dropping Euler factors
• The Tamagawa number conjecture of adjoint motives of modular forms
• Binary theta series and modular forms with complex multiplication

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