Now showing items 1-4 of 4

  • Computation of ATR Darmon points on nongeometrically modular elliptic curves 

    Guitart Morales, Xavier; Masdeu, Marc (2013-03)
    Article
    Restricted access - publisher's policy
    ATR points were introduced by Darmon as a conjectural con- struction of algebraic points on certain elliptic curves for which the Heegner-point method is not in general available. So far, the only numerical evidence, ...
  • Equations of bielliptic modular curves 

    González Rovira, Josep (2012-11)
    Article
    Open Access
    We give a procedure to determine equations for the modular curves X0(N) which are bielliptic and equations for the 30 values of N such that X0(N) is bielliptic and nonhyperelliptic are presented.
  • On fields of definition of torsion points of elliptic curves with complex multiplication 

    Dieulefait, Luis Victor; Gonzalez Jimenez, Enrique; Jiménez Urroz, Jorge (2011-06)
    Article
    Open Access
    For any elliptic curve E defined over the rationals with complex multiplication (CM) and for every prime p, we describe the image of the mod p Galois representation attached to E. We deduce information about the field of ...
  • Square-free discriminants of Frobenius rings 

    David, Chantal; Jiménez Urroz, Jorge (2010-09)
    Article
    Open Access
    Let E be an elliptic curve over Q. It is well known that the ring of endomorphisms of $E_p$, the reduction of E modulo a prime p of ordinary reduction, is an order of the quadratic imaginary field $Q(\pi_p)$ generated ...