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.Local-global principleCompared with: It seeks global arithmetic information through an analytic invariant rather than local solvability alone.Millennium Prize ProblemsBroader topic: It makes a deep prediction about rational solutions on elliptic curves.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.Deligne conjecture (critical L-values)Compared with: It concerns a central value or leading term, rather than Deligne’s critical values in general.