Narváez Macarro, LuisNavas Orozco, Jesús2019-11-042019-11-042019https://hdl.handle.net/11441/90016Eliptic curves are mathematical objects that have interesting analytic, arithmetic and algebraic properties, though we’ll focus on the algebraic and arithmetic aspects only. We can define a natural geometric group law on them. Mordell’s theorem states that the subgroup of points with rational coordinates of and elliptic curve defined over Q is abelian and finitely generated and it’s usually a good first objective in the study of these curves. The proof is not elementary and eventually, we’ll need to use some tools of algebraic number theory.application/pdfspaAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Curvas elípticasMordell, Teorema deinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess