Yuji Hashimoto

collaborators

2 papers

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…

math.NT2024

Normal integral bases of Lehmer's cyclic quintic fields

Yu Hashimoto, Miho Aoki

Let $K_{n}$ be a tamely ramified cyclic quintic field generated by a root of Emma Lehmer's parametric polynomial. We give all normal integral bases for $K_{n}$ only by the roots of the…

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

Normal integral bases of Lehmer's cyclic quintic fields

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