Rank Growth of Elliptic Curves in Non-Abelian Extensions

DOI10.1093/imrn/rnz307zbMath1491.11059arXiv1810.04018OpenAlexW2995795483MaRDI QIDQ5021591

Frank Thorne, Robert J. Lemke Oliver

Publication date: 13 January 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.04018

zbMATH Keywords

elliptic curverank

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Elliptic curves over global fields (11G05)

Related Items (5)

Growth of points on hyperelliptic curves over number fields ⋮ Rank growth of elliptic curves over 𝑁-th root extensions ⋮ Rank gain of Jacobians over number field extensions with prescribed Galois groups ⋮ On the vanishing of twisted \(L\)-functions of elliptic curves over rational function fields ⋮ Analytic ranks of elliptic curves over number fields

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