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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.07295 |
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| _version_ | 1866911576945065984 |
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| author | Melistas, Mentzelos |
| author_facet | Melistas, Mentzelos |
| contents | Two elliptic curves defined over $\mathbb{Q}$ are called discriminant twins if they have the same minimal discriminant and the same conductor. Deines, in 2014, conjectured that there exist infinitely many semi-stable non-isogenous discriminant twins. In this article we present an explicit infinite family of semi-stable non-isogenous discriminant twins, providing a proof for Deines' conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_07295 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On a conjecture of Deines Melistas, Mentzelos Number Theory Two elliptic curves defined over $\mathbb{Q}$ are called discriminant twins if they have the same minimal discriminant and the same conductor. Deines, in 2014, conjectured that there exist infinitely many semi-stable non-isogenous discriminant twins. In this article we present an explicit infinite family of semi-stable non-isogenous discriminant twins, providing a proof for Deines' conjecture. |
| title | On a conjecture of Deines |
| topic | Number Theory |
| url | https://arxiv.org/abs/2604.07295 |