English

Congruent elliptic curves over some $p$-adic Lie extensions

Number Theory 2025-03-13 v2

Abstract

Let pp be an odd prime number. In this article, we study the variation of Iwasawa invariants among pp-congruent elliptic curves over certain pp-adic Lie extensions. We investigate both the classical Selmer group as well as the fine Selmer group.

Keywords

Cite

@article{arxiv.2502.00621,
  title  = {Congruent elliptic curves over some $p$-adic Lie extensions},
  author = {Dac-Nhan-Tam Nguyen and Ramdorai Sujatha},
  journal= {arXiv preprint arXiv:2502.00621},
  year   = {2025}
}
R2 v1 2026-06-28T21:29:16.515Z