Add to ORKGDedicated to Professor Masatoshi Ikeda on the occasion of his 70th birthday We prove that all but nitely many Heegner points on a given modular elliptic curve (or, more generally, on a given quotient of the modular Jacobian variety J0(N)) are of innite order in the Mordell-Weil group where they naturally live, i.e., over the corresponding ring class eld. 1. Notation
In order to illustrate the methods used to work vl'ith on curves, we here the explicit on one o...
AbstractThe number of isogeny classes of elliptic curves E/Qp, having potentially good reduction at ...
Abstract. Let E be an elliptic curve defined over Q or over a real quadratic field which is uniformi...
Abstract. Let k be a global field, k a separable closure of k, and Gk the absolute Galois group Gal(...
For every integer N ≥ 1, consider the set K(N) of imaginary quadratic fields such that, for each K i...
The study of elliptic curves grows out of the study of elliptic functions which dates back to work d...
Abstract. An elliptic curve is a specific type of algebraic curve on which one may impose the struct...
AbstractLet E be an elliptic curve over Q and let K be a quadratic imaginary field that satisfies th...
I will discuss some heuristics for modular symbols, and consequences of those heuristics for Mordel...
[[abstract]]From some basic results of Algebraic Number Theory and Algebraic Geometry, we know that ...
Abstract. Given a parametrisation of an elliptic curve by a Shimura curve, we show that the images o...
We study Heegner points on elliptic curves, or more generally modular abelian varieties, coming from...
Thesis (Ph.D.)--University of Washington, 2016-06\abstract{ We investigate computational problems re...
AbstractLet E be a modular elliptic curve defined over a rational function field k of odd characteri...
We study Heegner points on elliptic curves, or more generally modular abelian varieties, coming from...
In order to illustrate the methods used to work vl'ith on curves, we here the explicit on one o...
AbstractThe number of isogeny classes of elliptic curves E/Qp, having potentially good reduction at ...
Abstract. Let E be an elliptic curve defined over Q or over a real quadratic field which is uniformi...
Abstract. Let k be a global field, k a separable closure of k, and Gk the absolute Galois group Gal(...
For every integer N ≥ 1, consider the set K(N) of imaginary quadratic fields such that, for each K i...
The study of elliptic curves grows out of the study of elliptic functions which dates back to work d...
Abstract. An elliptic curve is a specific type of algebraic curve on which one may impose the struct...
AbstractLet E be an elliptic curve over Q and let K be a quadratic imaginary field that satisfies th...
I will discuss some heuristics for modular symbols, and consequences of those heuristics for Mordel...
[[abstract]]From some basic results of Algebraic Number Theory and Algebraic Geometry, we know that ...
Abstract. Given a parametrisation of an elliptic curve by a Shimura curve, we show that the images o...
We study Heegner points on elliptic curves, or more generally modular abelian varieties, coming from...
Thesis (Ph.D.)--University of Washington, 2016-06\abstract{ We investigate computational problems re...
AbstractLet E be a modular elliptic curve defined over a rational function field k of odd characteri...
We study Heegner points on elliptic curves, or more generally modular abelian varieties, coming from...
In order to illustrate the methods used to work vl'ith on curves, we here the explicit on one o...
AbstractThe number of isogeny classes of elliptic curves E/Qp, having potentially good reduction at ...
Abstract. Let E be an elliptic curve defined over Q or over a real quadratic field which is uniformi...