Non-existence of elliptic curves with everywhere good reduction over some real quadratic fields

2011/07/23 by Yokoyama, Shun'ichi, Shimasaki, Yu
#11G05 (Primary) 14H52 (Secondary) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1107.4648

Abstract

We prove the non-existence of elliptic curves having good reduction everywhere over some real quadratic fields.

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