KnowraBirch and Swinnerton-Dyer conjectureLinked fromLinked fromThe 8 pages that link to Birch and Swinnerton-Dyer conjecture, each with the reason it gives.All 8Broader topic 1Related 5Compared with 2Number theoryRelated: It links integer and rational solutions to analytic properties of a function attached to a curve.Elliptic curveRelated: It predicts how the curve's arithmetic is encoded in an analytic function.Modularity theoremRelated: Modularity gives elliptic curves an analytic L-function central to this conjecture.Mordell–Weil theoremRelated: The finite rank supplied by the theorem becomes a central quantity in this conjecture.Fermat's right triangle theoremRelated: The congruent-number curves connected to this theorem fall within the conjecture's scope.