Manabu Yoshida

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math.NT2026

Fields of definition of $p$ -torsion points of elliptic curves and their ramification

Yoshiyasu Ozeki, Manabu Yoshida

Let $E$ be an elliptic curve over $Q_{p}$ . We study the field $Q_{p} (E [p])$ generated by the $p$ -torsion points of $E$ . When $E$ has good reduction, we determine not…

math.NT2025

Torsion of elliptic curves over $Q_{p}$ with good reduction in cyclotomic extensions

Yoshiyasu Ozeki, Manabu Yoshida

In this paper, for every prime $p$ and every $0 \leq n \leq \infty$ , we classify the structure of the torsion subgroup of the group of $Q_{p} (μ_{p^{n}})$ -rational points of ellipt…

Fields of definition of p-torsion points of elliptic curves and their ramification

Torsion of elliptic curves over Qp​ with good reduction in cyclotomic extensions

Fields of definition of $p$ -torsion points of elliptic curves and their ramification

Torsion of elliptic curves over $Q_{p}$ with good reduction in cyclotomic extensions