Sho Yoshikawa

collaborators

3 papers

math.NT2022

Modularity of elliptic curves over cyclotomic $Z_{p}$ -extensions of real quadratic fields

Sho Yoshikawa

We prove that all elliptic curves defined over the cyclotomic $Z_{p}$ -extension of a real quadratic field are modular under the assumption that the algebraic part of the cen…

math.NT2016

Modularity of elliptic curves over abelian totally real fields unramified at 3, 5, and 7

Sho Yoshikawa

This version improves the old version entitled "On the modularity of elliptic curves with a residually irreducible representation". Let $E$ be an elliptic curve over an abelian tot…

math.NT2016

On the modularity of elliptic curves over a composite field of some real quadratic fields

Sho Yoshikawa

Let $K$ be a composite field of some real quadratic fields. We give a sufficient condition on $K$ such that all elliptic curves over $K$ is modular.

Modularity of elliptic curves over cyclotomic Zp​-extensions of real quadratic fields

Modularity of elliptic curves over abelian totally real fields unramified at 3, 5, and 7

On the modularity of elliptic curves over a composite field of some real quadratic fields

Modularity of elliptic curves over cyclotomic $Z_{p}$ -extensions of real quadratic fields