MODULAR FORMS AND ELLIPTIC CURVES OVER THE CUBIC FIELD OF DISCRIMINANT –23

DOI10.1142/S1793042112501242zbMath1277.11053arXiv1201.4132OpenAlexW2113308879MaRDI QIDQ4904411

Paul E. Gunnells, Dan Yasaki

Publication date: 29 January 2013

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

Full work available at URL: https://arxiv.org/abs/1201.4132

zbMATH Keywords

elliptic curvesautomorphic formsHecke operatorscohomology of arithmetic groups

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Computational number theory (11Y99) Cohomology of arithmetic groups (11F75)

Related Items (14)

A Table of Elliptic Curves over the Cubic Field of Discriminant–23 ⋮ Darmon points on elliptic curves over number fields of arbitrary signature ⋮ Uniformization of modular elliptic curves via \(p\)-adic periods ⋮ Periods of Modular GL₂-type Abelian Varieties and p-adic Integration ⋮ Functoriality, Smith theory, and the Brauer homomorphism ⋮ On the cohomology of linear groups over imaginary quadratic fields ⋮ Modular elliptic curves over the field of twelfth roots of unity ⋮ Analytic, Reidemeister and homological torsion for congruence three-manifolds ⋮ On the Cohomology of Congruence Subgroups of GL₃ over the Eisenstein Integers ⋮ ON THE GROWTH OF TORSION IN THE COHOMOLOGY OF ARITHMETIC GROUPS ⋮ Cohomology with twisted one-dimensional coefficients for congruence subgroups of \(\operatorname{SL}_4(\mathbb{Z})\) and Galois representations ⋮ Lectures on Computing Cohomology of Arithmetic Groups ⋮ Arithmetic Aspects of Bianchi Groups ⋮ Computing Modular Forms for GL2 over Certain Number Fields

Cites Work

• Resolutions of the Steinberg module for \(\mathrm{GL}(n)\)
• Beiträge zu einer Reduktionstheorie in Positivitätsbereichen. I
• Eisenstein cohomology of arithmetic groups. The case \(GL_ 2\)
• The modular symbol and continued fractions in higher dimensions
• Modular symbols for \(\mathbb{Q}\)-rank one groups and Voronoĭ reduction
• The Magma algebra system. I: The user language
• Cohomology of congruence subgroups of \(\text{SL}_4(\mathbb Z)\)
• Generators and relations for certain special linear groups
• Introduction to Toric Varieties. (AM-131)
• Explicit Computations of Hilbert Modular Forms on ℚ(√5)
• Harmonic analysis in weighted L2-spaces
• Computing Heeke Eigenvalues Below the Cohomologieal Dimension
• Advanced Topics in Computional Number Theory
• Hecke Operators and Hilbert Modular Forms

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