Iwasawa Theory of Elliptic Curves in Quadratic Twist Families
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912775183269888 |
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| author | Kundu, Debanjana Müller, Katharina |
| author_facet | Kundu, Debanjana Müller, Katharina |
| contents | In this article, we use two different approaches -- one algebraic and the other analytic -- to study the variation of Iwasawa invariants of rational elliptic curves in some quadratic twist families. The analytic approach involves a thorough investigation of half-integral weight modular forms. On the other hand, the algebraic proof requires studying the BDP-Selmer groups and the fine Selmer groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_21339 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Iwasawa Theory of Elliptic Curves in Quadratic Twist Families Kundu, Debanjana Müller, Katharina Number Theory In this article, we use two different approaches -- one algebraic and the other analytic -- to study the variation of Iwasawa invariants of rational elliptic curves in some quadratic twist families. The analytic approach involves a thorough investigation of half-integral weight modular forms. On the other hand, the algebraic proof requires studying the BDP-Selmer groups and the fine Selmer groups. |
| title | Iwasawa Theory of Elliptic Curves in Quadratic Twist Families |
| topic | Number Theory |
| url | https://arxiv.org/abs/2507.21339 |