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p-Torsion points on elliptic curves defined over quadratic fields

Published online by Cambridge University Press:  22 January 2016

Fumiyuki Momose*
Affiliation:
Department of Mathematics, Faculty of Science, University of Tokyo, Hongo, Tokyo 113, Japan
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Let p be a prime number and k an algebraic number field of finite degree d. Manin [14] showed that there exists an integer n = n(k,p) (≧0) which satisfies the condition

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1984