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arXiv 2015-11-16 0 views

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

Koutsianas, Angelos

Original · EN

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

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