Elliptic curves over totally real cubic fields are modular

DOI10.2140/ant.2020.14.1791zbMath1471.11178arXiv1901.03436OpenAlexW3057408304MaRDI QIDQ2201812

Filip Najman, Samir Siksek, Maarten Derickx

Publication date: 17 September 2020

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.03436

zbMATH Keywords

elliptic curvesmodularitytotally real fields

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Galois representations (11F80)

Related Items (11)

Elliptic curves over totally real quartic fields not containing √5 are modular ⋮ On some generalized Fermat equations of the form x2+y2n=zp$x^2+y^{2n} = z^p$ ⋮ Asymptotic Fermat for signatures \((r,r,p)\) using the modular approach ⋮ Elliptic curves and modularity ⋮ Asymptotic Fermat for signatures (p,p,2)$(p,p,2)$ and (p,p,3)$(p,p,3)$ over totally real fields ⋮ On the modularity of elliptic curves over the cyclotomic \(\mathbb{Z}_p\)-extension of some real quadratic fields ⋮ On smooth plane models for modular curves of Shimura type ⋮ Reducible mod 105 representations and modularity of elliptic curves ⋮ Computing models for quotients of modular curves ⋮ The modularity of elliptic curves over all but finitely many totally real fields of degree 5 ⋮ Unnamed Item

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