1 citations · 2 across the 4 of their papers we have counts for
5 papers · 1 filter
On the index of the Heegner subgroup of elliptic curves
Carlos Castano-Bernard
Let E be an elliptic curve of conductor N and rank one over Q. So there is a non-constant morphism X+0(N) --> E defined over Q, where X+0(N) = X0(N)/wN and wN is the Fricke involut…
A level N reduction theory of indefinite binary quadratic forms
Carlos Castano-Bernard
In this paper we study a geometric coding algorithm for indefinite binary quadratic forms Q for the congruence subgroup Γ^0(N), with respect to the usual fundamental domain FN, whe…
Further properties of a function of Ogg and Ligozat
Carlos Castano-Bernard
Certain identities of Ramanujan may be succinctly expressed in terms of the rational function w_N(g) = w_N(f) - 1/w_N(f) on the modular curve X_0(N), where f is a certain modular u…
On the 2-divisibility of certain Heenger points
Carlos Castano-Bernard
Let E be an elliptic curve defined over the rationals and let N be its conductor. Assume N is prime. In this paper we give numerical evidence that suggests some conjectures on the…
A note on the rational points of X_0^+(N)
Carlos Castano-Bernard
Let C be the image of a canonical embedding C of the Atkin-Lehner quotient X+0(N) associated to the Fricke involution wN. In this note we exhibit some relations among the rational…