On a simple model of X0 (N)

We find plane models for all , . We observe a map from the modular curve to the projective plane constructed using modular forms of weight 12 for the group ; the Ramanujan function , and the third power of Eisestein series of weight 4, , and prove that this map is birational equivalence for every . The equation of the model is the minimal polynomial of over C(j).