Journal of the Ramanujan Mathematical Society

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The j-Invariants of Bielliptic Modular Curves X0(N)


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1 Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima 739-8526, Japan
     

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Let N be a positive integer. We give a method to express the classical j-invariant by using coordinates of the normal form of a modular curve X0(N) for each N such that X0(N) is a bielliptic curve.
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  • The j-Invariants of Bielliptic Modular Curves X0(N)

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Authors

Takuya Yamauchi
Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima 739-8526, Japan

Abstract


Let N be a positive integer. We give a method to express the classical j-invariant by using coordinates of the normal form of a modular curve X0(N) for each N such that X0(N) is a bielliptic curve.