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Elliptic curves with good reduction away from 2: II

Published online by Cambridge University Press:  24 October 2008

R. G. E. Pinch
R. G. E. Pinch
Affiliation:
Emmanuel College, Cambridge
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Extract

In this paper we continue the study of elliptic curves defined over a quadratic field with good reduction at primes not dividing 2 begun in [9] (referred to as I). We extend the results of I to show that such a curve must have a point of order 2 also defined over when d = −7, −3, −2, −1, 2, 3 or 5 and list all such curves over .

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 100 , Issue 3 , November 1986 , pp. 435 - 457
Copyright
Copyright © Cambridge Philosophical Society 1986

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