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| Main Authors: | , |
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| Format: | Preprint |
| Udgivet: |
2025
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| Online adgang: | https://arxiv.org/abs/2502.00621 |
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| _version_ | 1866909534673436672 |
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| author | Nguyen, Dac-Nhan-Tam Sujatha, Ramdorai |
| author_facet | Nguyen, Dac-Nhan-Tam Sujatha, Ramdorai |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_00621 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Congruent elliptic curves over some $p$-adic Lie extensions Nguyen, Dac-Nhan-Tam Sujatha, Ramdorai Number Theory 11G05 (Primary) 11R23, 11R34 (Secondary) 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. |
| title | Congruent elliptic curves over some $p$-adic Lie extensions |
| topic | Number Theory 11G05 (Primary) 11R23, 11R34 (Secondary) |
| url | https://arxiv.org/abs/2502.00621 |