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Torsion points on elliptic curves defined over quadratic fields

Published online by Cambridge University Press:  22 January 2016

M. A. Kenku  and
F. Momose
M. A. Kenku
Affiliation:
Department of Mathematics, Faculty of Science, University of Lagos, Lagos, Nigeria
F. Momose
Affiliation:
Department of Mathematics, Chuo University, 1-13-27 Kasuga, Bunkyo-ku, Tokyo 112, Japan
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Let k be a quadratic field and E an elliptic curve defined over k. The authors [8, 12, 13] [23] discussed the k-rational points on E of prime power order. For a prime number p, let n = n(k, p) be the least non negative integer such that

for all elliptic curves E defined over a quadratic field k ([15]).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 109 , March 1988 , pp. 125 - 149
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1988

References

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