Kenji Terao

collaborators

3 papers

math.NT2026

Computing class groups and gonalities of algebraic curves over finite fields

Maarten Derickx, Kenji Terao

We give practical algorithms for computing the divisor class group and the gonality of a curve over a finite field, achieving several orders of magnitude speedup over existing meth…

math.NT2026

Isolated points on modular curves

Kenji Terao

We study isolated points on the modular curves $X_{H}$ , for $H$ a subgroup of $GL_{2} (Z / n Z)$ for some $n \geq 1$ . In particular, we prove a single…

math.NT2025

Degrees of points with rational $j$ -invariant on $X_{0} (n)$ and $X_{1} (n)$

Kenji Terao

We give a classification of the degrees of the points with rational $j$ -invariant on the modular curves $X_{0} (n)$ and $X_{1} (n)$ . The degrees which occur infinitely often are comp…

Computing class groups and gonalities of algebraic curves over finite fields

Isolated points on modular curves

Degrees of points with rational j-invariant on X0​(n) and X1​(n)

Degrees of points with rational $j$ -invariant on $X_{0} (n)$ and $X_{1} (n)$