Construction of Modular Curves and Computation of Their Cardinality over Fp

  • Cédric Tavernier
Conference paper


Following [3], and in using several results, we describe an algorithm which compute with a level N given the cardinality over F p of the Jacobian of elliptic curves and hyperelliptic curves of genus 2 which come from X 0(N). We will also sketch how to get a plane affine model for these curves.


Modular Form Elliptic Curf Abelian Variety Hyperelliptic Curve Representative System 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Cédric Tavernier
    • 1
  1. 1.INRIA RocquencourtLe ChesnayFrance

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