Now showing items 1-4 of 4

• #### Computation of ATR Darmon points on nongeometrically modular elliptic curves ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ...