Torsion of elliptic curves with rational j-invariant over quartic number fields

2024/12/31 by Hamada, Lucas
#11G05 (Primary) 12F05 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2501.00400

Abstract

Let E be an elliptic curve, defined over a quartic extension K of ℚ, with j(E) ∈ ℚ. In this paper, we classify the possible torsion subgroup structures E(K)_tors.

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