Level raising mod 2 and arbitrary 2-Selmer ranks

DOI10.1112/S0010437X16007454zbMath1423.11088arXiv1501.01344MaRDI QIDQ5360230

Bao V. Le Hung, Chao Li

Publication date: 28 September 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01344

zbMATH Keywords

modular formsSelmer groups

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80)

Related Items (4)

GLOBALLY REALIZABLE COMPONENTS OF LOCAL DEFORMATION RINGS ⋮ Raising the level at your favorite prime ⋮ GOLDFELD’S CONJECTURE AND CONGRUENCES BETWEEN HEEGNER POINTS ⋮ Supersingular zeros of divisor polynomials of elliptic curves of prime conductor

Uses Software

• Magma

Cites Work

• Automorphic lifts of prescribed types
• The period-index obstruction for elliptic curves
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• Lifting modular mod \(l\) representations
• The Magma algebra system. I: The user language
• Singularities of ordinary deformation rings
• Modular elliptic curves and Fermat's Last Theorem
• Ring-theoretic properties of certain Hecke algebras
• Asymptotics of solutions for a basic case of fluid-structure interaction
• Selmer groups and the indivisibility of Heegner points
• The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\)
• Potential automorphy and change of weight
• Galois properties of points of finite order of elliptic curves
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• On the local divisibility of Heegner points
• Modularity of nearly ordinary 2-adic residually dihedral Galois representations
• Random maximal isotropic subspaces and Selmer groups
• Schémas en groupes de type $(p,\ldots,p)$
• Euler Systems and Jochnowitz Congruences
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