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Elliptic curves with good reduction away from 2

Published online by Cambridge University Press:  24 October 2008

R. G. E. Pinch
Affiliation:
Mathematics Department, University of Glasgow, Glasgow G12 8QW

Extract

In this paper we list the elliptic curves defined over Q √ − 1, Q√ −2 or Q√ − 3 which have good reduction away from 2. The possible invariants of such curves are given in Table 1, and their minimal equations in Tables 2, 3 and 4. These extend (and agree with) results of Ogg[4] and Stroeker [10], by a different method.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1984

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