KnowraElliptic curveLinked fromLinked fromThe 26 pages that link to Elliptic curve, each with the reason it gives.All 26Broader topic 9Related 12Narrower topic 5André WeilRelated: Elliptic curves exemplify the arithmetic-geometric objects Weil investigated.Pierre de FermatRelated: Elliptic curves became central to the modern route to proving Fermat’s Last Theorem.p-adic numberRelated: Its points over p-adic fields connect local analysis to arithmetic geometry.Elliptic functionRelated: The Weierstrass function and its derivative parametrize a cubic elliptic curve.Theta functionRelated: Theta functions provide analytic uniformizations and formulas for elliptic-curve data.Elliptic integralRelated: The square root of a cubic with distinct roots defines a curve of genus one.Andrew WilesRelated: Frey’s construction converts a hypothetical Fermat solution into an elliptic curve with impossible modular behavior.DiscriminantRelated: The discriminant of a Weierstrass equation detects singularity and helps identify bad reduction.Fermat's right triangle theoremRelated: Modern reformulations connect square-area right triangles to rational points on a cubic curve.Serge LangRelated: Lang’s work on Diophantine geometry and conjectures bears directly on their rational points.Ribet's theoremRelated: The Fermat application begins with a Frey elliptic curve whose modular representation is level-lowered.Poncelet's closure theoremRelated: The dynamics can be linearized on an associated elliptic curve, where closure becomes a torsion condition.