Dihedral congruence primes and class fields of real quadratic fields

DOI10.1006/jnth.2001.2753zbMath1030.11021OpenAlexW2002132366MaRDI QIDQ696924

Eknath P. Ghate, Alexander F. Brown

Publication date: 12 September 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.2001.2753

zbMATH Keywords

class fieldsDihedral congruence primes

Mathematics Subject Classification ID

Quadratic extensions (11R11) Congruences for modular and (p)-adic modular forms (11F33) Class field theory (11R37)

Related Items (7)

A finiteness property of abelian varieties with potentially ordinary good reduction ⋮ On Hecke algebras for Hilbert modular forms ⋮ Constructing ray class fields of a real quadratic field using elliptic curves ⋮ Arithmetic twists and Abelian extensions ⋮ Automorphic forms for some even unimodular lattices ⋮ Twisted adjoint \(L\)-values, dihedral congruence primes and the Bloch-Kato conjecture ⋮ Quadratic \(\mathbb Q\)-curves, units and Hecke \(L\)-values

Cites Work

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• Sur les représentations galoisiennes modulo \(\ell\) attachées aux formes modulaires. (On Galois representations modulo \(\ell\) attached to modular forms)
• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• Global quadratic units and Hecke algebras
• Non-optimal levels of \(\text{mod }l\) modular representations
• The weight in Serre's conjectures on modular forms
• Class fields over real quadratic fields and Hecke operators
• On the Hecke operators for \(\Gamma_0\)(N) and class fields over quadrati c number fields
• Formes modulaires de poids $1$
• Congruences between cusp forms and linear representations of the Galois group

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