2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146667Let $X$ be a quadratic vector field with a center whose generic orbits are algebraic curves of genus one. To each $X$ we associate an elliptic surface (a smooth complex compact surface which is a genus one fibration). We give the list of all such vector fields and determine the corresponding elliptic surfaces.24 pages, 16 Figures, 8 TablesDynamical Systems34C07text