Lucas Hamada

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math.NT2026

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

Lucas Hamada

Let $E$ be an elliptic curve, defined over a quartic extension $K$ of $Q$ , with $j (E) \in Q$ . In this paper, we classify the possible group structure of the torsi…

math.NT2025

Torsion of elliptic curves with rational $j$ -invariant over the maximal elementary abelian 2-extension of $Q$

Lucas Hamada

In this paper, we classify the possible torsion subgroup structures of elliptic curves defined over the compositum of all quadratic extensions of the rational number field, whose $…

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

Torsion of elliptic curves with rational j-invariant over the maximal elementary abelian 2-extension of Q

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

Torsion of elliptic curves with rational $j$ -invariant over the maximal elementary abelian 2-extension of $Q$