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2011•Journal of the Chungcheong Mathematical SocietyRequires access

MODULAR POLYNOMIALS FOR MODULAR CURVES X 0 + (N)

Soyoung Choi

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Abstract

We show that for all , the modular function field K() is generated by j(z)j(Nz) and j(z) + j(Nz) over , where j(z) is the modular invariant. Moreover we derive the defining equation of the the modular function field K() from the classical modular polynomial .

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What this paper is about

We show that for all , the modular function field K() is generated by j(z)j(Nz) and j(z) + j(Nz) over , where j(z) is the modular invariant. Moreover we derive the defining equation of the the modular function field K() from the classical modular polynomial .

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Available abstract

We show that for all , the modular function field K() is generated by j(z)j(Nz) and j(z) + j(Nz) over , where j(z) is the modular invariant. Moreover we derive the defining equation of the the modular function field K() from the classical modular polynomial .

Key concepts: Modular design, Modular curve, Mathematics, Modular form, Modular elliptic curve, Function (biology), Invariant (physics), Polynomial

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