• Modular curves and complex multiplication 

      Hernández Barrios, Víctor (Universitat Politècnica de Catalunya, 2018-07)
      Projecte Final de Màster Oficial
      Accés obert
      In this project we explore the connections between elliptic curves, modular curves and complex multiplication (CM). The main theorem of CM shows that the theory of CM for elliptic curves provides an explicit construction ...
    • The automorphism group of the non-split Cartan modular curve of level 11 

      Dose, Valerio; Fernández González, Julio; González Rovira, Josep; Schoof, Rene (2014-11-01)
      Article
      Accés restringit per política de l'editorial
      We derive equations for the modular curve X-ns(11) associated to a non-split Cartan subgroup of GL(2)(F-11). This allows us to compute the automorphism group of the curve and show that it is isomorphic to Klein's four ...