Abhishek

collaborators

2 papers

math.NT2025

2-Selmer companion modular forms

Abhishek, Somnath Jha, Sudhanshu Shekhar

Let $N$ be a positive integer and $K$ be a number field. Suppose that $f_{1}, f_{2} \in S_{k} (I^_{0} (N))$ are two newforms such that their residual Galois representations at $2$ are isomorp…

math.NT2025

Class Groups and Selmer Groups in Special Families

Abhishek, Debanjana Kundu

We explore the relationship between (3-isogeny induced) Selmer group of an elliptic curve and the (3 part of) the ideal class group, over certain non-abelian number fields.