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Construction of elliptic curves with cyclic groups over prime fields
Published online by Cambridge University Press: 17 April 2009
Extract
The purpose of this article is to construct families of elliptic curves E over finite fields F so that the groups of F-rational points of E are cyclic, by using a representation of the modular invariant function by a generator of a modular function field associated with the modular group Γ0(N), where N = 5, 7 or 13.
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- Research Article
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- Copyright © Australian Mathematical Society 2006
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