2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65498We extend the results of the first author on nontrivial elements in the Shafarevich-Tate group of the jacobian of a quotient of a Fermat curve of prime degree, and use the methods of the second author to derive a result bounding the quadratic points on the Fermat curve of degree 19.Added missing bibliography, other minor changes to title and abstractNumber TheoryAlgebraic Geometry11G10;11G30text