Yuji Hashimoto

collaborators

3 papers

math.NT2026

Cubic AGM graphs and Hessian $3$ -isogenies over finite fields $F_{q}$ of odd characteristic with $q \equiv 2 (mod 3)$

Yuji Hashimoto, Koji Nuida

Let $F_{q}$ be a finite field of odd characteristic with $q \equiv 2 (mod 3)$ . We study the directed graph defined by the Borwein--Borwein cubic arithmetic--geometric mean (A…

math.NT2026

Ordinary 3-Isogeny Graphs and Improvement of Supersingularity Testing for Twisted Hessian Curves over Prime Fields

Yuji Hashimoto, Koji Nuida

For any primes $p \neq = ℓ$ , $ℓ$ -isogeny graphs of ordinary elliptic curves defined over $F_{p^{2}}$ have a typical structure called $ℓ$ -volcanoes, and the structure…

math.NT2024

Bounds on Heights of $2$ -isogeny Graphs in Ordinary Curves over $F_{p}$ and $F_{p^{2}}$ and Its Application

Yuji Hashimoto, Koji Nuida

It is known that any isogeny graph consisting of ordinary elliptic curves over $F_{q}$ with $q = p$ or $p^{2}$ has a special structure, called a volcano graph. We have a bound…

Cubic AGM graphs and Hessian 3-isogenies over finite fields Fq​ of odd characteristic with q≡2(mod3)

Ordinary 3-Isogeny Graphs and Improvement of Supersingularity Testing for Twisted Hessian Curves over Prime Fields

Bounds on Heights of 2-isogeny Graphs in Ordinary Curves over Fp​ and Fp2​ and Its Application

Cubic AGM graphs and Hessian $3$ -isogenies over finite fields $F_{q}$ of odd characteristic with $q \equiv 2 (mod 3)$

Bounds on Heights of $2$ -isogeny Graphs in Ordinary Curves over $F_{p}$ and $F_{p^{2}}$ and Its Application