Number of Polynomials Vanishing on a Basis of Sm(0(N))
Abstract
In this paper we find the number of homogeneous polynomials of degree d such that they vanish on cuspidal modular forms of even weight m≥ 2 that form a basis for Sm(0(N)). We use these cuspidal forms to embedd X0(N) to projective space and we find the Hilbert polynomial of the graded ideal of the projective curve that is the image of this embedding.
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