• Title of article

    Singularities of the Modular Curve

  • Author/Authors

    Alexander Klyachko، نويسنده , , Orhun Kara، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2001
  • Pages
    6
  • From page
    415
  • To page
    420
  • Abstract
    Let 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 Φℓ(X, Y)=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.
  • Journal title
    Finite Fields and Their Applications
  • Serial Year
    2001
  • Journal title
    Finite Fields and Their Applications
  • Record number

    701021

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=701021