2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102047We explain how to find a rational point on a rational elliptic curve of rank 1 using Heegner points. We give some examples, and list new algorithms that are due to Cremona and Delaunay. These are notes from a short course given at the Institut Henri Poincare in December 2004.Number Theory11G40, 14G10text