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arXiv · 2502.00621

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

Dac-Nhan-Tam Nguyen·Ramdorai Sujatha
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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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Dac-Nhan-Tam Nguyen, Ramdorai Sujatha. 2025-02-02. Congruent elliptic curves over some $p$-adic Lie extensions. https://arxiv.org/abs/2502.00621

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