Some Computations with Heeke Rings and Deformation Rings

DOI10.1080/10586458.2002.10504694zbMath1116.11310OpenAlexW1501002913MaRDI QIDQ5472026

René Schoof, Joan-Carles Lario

Publication date: 14 June 2006

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1062621223

zbMATH Keywords

elliptic curvesmodularitydeformation ringsHecke rings

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Galois representations (11F80) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (3)

Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero ⋮ Iwasawa theory and the Eisenstein ideal ⋮ Powers of 2 in modular degrees of modular abelian varieties

Uses Software

• ecdata

Cites Work

• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• Modular elliptic curves and Fermat's Last Theorem
• Ring-theoretic properties of certain Hecke algebras
• Galois properties of points of finite order of elliptic curves
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