Congruent elliptic curves over some p-adic Lie extensions

2025/02/02 by Dac-Nhan-Tam Nguyen, R. Sujatha, Nguyen, Dac-Nhan-Tam +1 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #advanced mathematical theories #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.2502.00621

Abstract

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

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