Classical modular polynomials
Coefficient files for the classical modular polynomials Phi_N(X,Y), canonical equations for the modular curves X_0(N) that parameterize pairs of elliptic curves related by a cyclic N-isogeny. Polynomials are provided for all levels N <= 400 and all prime levels N <= 1000 (490 in total), computed with the isogeny-volcano and CRT algorithms of the two cited papers. Each file lists the nonzero coefficients of Phi_N, one per line, up to the X-Y symmetry.