Haidong Li

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math.NT2026

A $p$ -part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields

Haidong Li

This article studies a modular semistable elliptic curve $E$ over a totally real number field $F$ such that, upon base change to a totally imaginary quadratic extension $K$ , it has…

math.NT2026

Torsion groups of rational elliptic curves over $Z_{p}$ -extensions of quadratic fields: the $p \leq 5$ case

Haidong Li

Let $E$ be a rational elliptic curve. We generalize a theorem due to Avcı\cite{AVCI2026153}, which asserts that for any quadratic field $K$ and prime $p>5$, the equality \(E(K)…

math.NT2025

On the Mordell-Weil rank of certain CM abelian varieties over anticyclotomic towers

Haidong Li, Ruichen Xu

Let $K / Q$ be an imaginary quadratic extension, and let $p$ be an odd prime. In this paper, we investigate the growth of Mordell-Weil ranks of CM abelian varieties associat…

A p-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields

Torsion groups of rational elliptic curves over Zp​-extensions of quadratic fields: the p≤5 case

On the Mordell-Weil rank of certain CM abelian varieties over anticyclotomic towers

A $p$ -part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real Fields

Torsion groups of rational elliptic curves over $Z_{p}$ -extensions of quadratic fields: the $p \leq 5$ case