2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143149We present experimental evidence to support the widely held belief that one half of all elliptic curves have infinitely many rational points. The method used to gather this evidence is a refinement of an algorithm due to the author which is based upon rigid and crystalline cohomology.32 pagesNumber TheoryAlgebraic Geometry11Y99Ranks of elliptic curves over function fieldstext