The kernel of the Eisenstein ideal

DOI10.1006/jnth.2001.2709zbMath1004.11035OpenAlexW1976369890MaRDI QIDQ5960995

János A. Csirik

Publication date: 22 April 2002

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

Full work available at URL: https://semanticscholar.org/paper/3a7bf5114343ca09e41937d9a63941fff4e9fc6f

zbMATH Keywords

JacobiankernelHecke algebramodular curveEisenstein ideal

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items

Galois theory and torsion points on curves. ⋮ Sporadic cubic torsion ⋮ Further properties of a function of Ogg and Ligozat ⋮ A divisor formula and a bound on the \(\mathbb{Q} \)-gonality of the modular curve \(X_1(N)\) ⋮ Modular units and cuspidal divisor class groups of \(X_1(N)\)

Cites Work

• Class fields of abelian extensions of \(\mathbb Q\)
• Modular curves and the class group of \(\mathbb{Q} (\zeta_p)\)
• Modular curves and the Eisenstein ideal
• Torsion points on modular curves
• Good reduction of abelian varieties
• Les Schémas de Modules de Courbes Elliptiques
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