Computing all elliptic curves over an arbitrary number field with\n prescribed primes of bad reduction

2015/11/16 by Angelos Koutsianas, Koutsianas, Angelos
Mathematics · Social Sciences · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Vietnamese History and Culture Studies

paper · pdf · doi:10.48550/arxiv.1511.05108

openalex publication_date 2015/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the problem of how to determine all elliptic curves\ndefined over an arbitrary number field K with good reduction outside a given\nfinite set of primes S of K by solving S-unit equations. We give examples\nof elliptic curves over mathbb Q and quadratic fields.\n

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