Applications of S-unit equations to the arithmetic of elliptic curves

Let K be a number field and S a finite set of prime ideals of K. By a classical result of Shafarevich ([Sil86]) we know that there are finitely many isomorphism classes ƸK;S of elliptic curves de ned over K with good reduction outside S. Many people have developed methods of computing ƸK;S explicitl...

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Bibliographic Details
Main Author: Koutsianas, Angelos
Published: University of Warwick 2016
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.707403