The absolute discriminant of the endomorphism ring of most reductions of a non-CM elliptic curve is close to maximal

Autor:	Cojocaru, Alina Carmen, Fitzpatrick, Matthew
Rok vydání:	2020
Předmět:	Mathematics - Number Theory 11G05 11G20 11N05 (Primary) 11N36 11N37 11N57 (Secondary)
Druh dokumentu:	Working Paper
Popis:	Let $E/\mathbb{Q}$ be a non-CM elliptic curve. Assuming GRH, we prove that, for a set of primes $p$ of density $1$, the absolute discriminant of the $\mathbb{F}_p$-endomorphism ring of the reduction of $E$ modulo $p$ is close to maximal. Comment: 7 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2003.01253 Zobrazit plný text záznamu View this record from Arxiv