Klyachko, A.Kara, O.2019-02-042019-02-0420011071-5797http://hdl.handle.net/11693/48811Let X0 (l) be the modular curve, parameterizing cyclic isogenies of degree l, and Z0 (l) be its plane model, given by the classical modular equation 'l (X,>)"0. We prove that all singularities of Z0 (l), except two cusps, are intersections of smooth branches, and evaluate the order of contact of these branches.EnglishArticle10.1006/ffta.2001.0319