KnowraRational pointLinked fromLinked fromThe 10 pages that link to Rational point, each with the reason it gives.All 10Related 9Compared with 1Elliptic curveRelated: The specified point on an elliptic curve is often chosen over its base field.Local-global principleRelated: The global question often asks whether a variety has a rational point.Arithmetic geometryRelated: Rational points turn geometric questions into arithmetic questions about field-valued solutions.Fermat's right triangle theoremRelated: Existence of suitable rational points encodes right triangles with a prescribed area.Bombieri–Lang conjectureRelated: These are the points whose distribution the conjecture constrains.Manin conjectureRelated: The conjecture counts points defined over the number field.Birch's theoremRelated: Integer solutions yield rational points, while the theorem quantifies a stronger bounded-height count.Erdős–Anning theoremRelated: Coordinate and distance constraints connect integer-distance configurations to arithmetic geometry.Hasse's theorem on elliptic curvesRelated: The theorem counts points whose coordinates lie in the finite field.