학술저널
MODULAR POLYNOMIALS FOR MODULAR CURVES X+
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 24, No. 3
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2011.08529 - 531 (3 pages)
- 2
We show that for all N ¸ 1, the modular function¯eld K(X+0 (N)) is generated by j(z)j(Nz) and j(z) + j(Nz) over C, where j(z) is the modular invariant. Moreover we derive the de¯ning equation of the the modular function ¯eld K(X+ 0 (N)) from the classical modular polynomial ©N(X; Y ).
1. Introduction
2. An a±ne singular model of the modular curve X+0 (N)
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