The modular degree and the congruence number of a weight 2 cusp form

DOI10.4064/aa114-2-5zbMath1108.11042OpenAlexW2006324986MaRDI QIDQ4811273

Ernst Kani, Alina Carmen Cojocaru

Publication date: 18 August 2004

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: http://journals.impan.gov.pl/aa/Inf/114-2-5.html

zbMATH Keywords

congruence numbermodular degree

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (8)

Watkins’s conjecture for elliptic curves with non-split multiplicative reduction ⋮ Shimura curves and the abc conjecture ⋮ Modular degrees of elliptic curves and some quotient of \(L\)-values ⋮ Congruences for newforms and the index of the Hecke algebra ⋮ A combinatorial Li-Yau inequality and rational points on curves ⋮ Modular forms and effective Diophantine approximation ⋮ On anticyclotomic μ-invariants of modular forms ⋮ The Manin constant in the semistable case

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