Rank growth of elliptic curves in \(S_4\)- and \(A_4\)-quartic extensions of the rationals

DOI10.2140/PJM.2024.331.331MaRDI QIDQ6631326

Daniel Keliher

Publication date: 1 November 2024

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

elliptic curveSelmer grouparithmetic statisticsrank growth

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Brauer relations in finite groups
• On the Birch-Swinnerton-Dyer quotients modulo squares
• Ranks of twists of elliptic curves and Hilbert's tenth problem
• Dirichlet series associated to quartic fields with given cubic resolvent
• A Markov model for Selmer ranks in families of twists
• Vanishing of L-functions of elliptic curves over number fields
• On the Distribution of Galois Groups, II
• Rank Growth of Elliptic Curves in Non-Abelian Extensions
• On the Prime Number Theorems
• Rank growth of elliptic curves over 𝑁-th root extensions

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