In this paper we find projective plane models of $X_0(N)$ by constructing maps from $X_0(N)$ to the projective plane using modular forms. We use eta-quotients of weight 12. We find those eta-quotients of weight 12 which have maximal order of zero at the cusp $\infty$.
Integrable systems and modular forms of level 2
On the computation of coefficients of modular forms: the reduction modulo p approach
Congruences between modular forms and related modules
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