The probability of isomorphic group structures of isogenous elliptic curves over finite fields
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915699628179456 |
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| author | Cullinan, John Kaplan, Nathan |
| author_facet | Cullinan, John Kaplan, Nathan |
| contents | Let l be a prime number and let E and E' be l-isogenous elliptic curves defined over Q. In this paper we determine the proportion of primes p for which E(F_p) is isomorphic to E'(F_p). Our techniques are based on those developed in \cite{ck} and \cite{rnt}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23921 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The probability of isomorphic group structures of isogenous elliptic curves over finite fields Cullinan, John Kaplan, Nathan Number Theory Let l be a prime number and let E and E' be l-isogenous elliptic curves defined over Q. In this paper we determine the proportion of primes p for which E(F_p) is isomorphic to E'(F_p). Our techniques are based on those developed in \cite{ck} and \cite{rnt}. |
| title | The probability of isomorphic group structures of isogenous elliptic curves over finite fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2512.23921 |