Home▸Mathematics▸Elliptic Curve y² = x³+ax+b — Group Law & Bézout's Theorem

🔺 Elliptic Curve y² = x³+ax+b — Group Law & Bézout's Theorem

Interactive visualization of algebraic geometry: curve y² = x³ + ax + b, tangent/secant line through two points, third intersection point (Bezout's Theorem) and group law for points P+Q.

Mathematics3DAdvanced60 FPS

⚙ Under the hood

Interactive algebraic geometry: the Weierstrass cubic y² = x³+ax+b, a secant/tangent line through two points, the third intersection point guaranteed by Bézout's theorem, and the elliptic-curve group law P+Q.

Three.jsalgebraic geometryelliptic curveBezout theoremgroup law

3D · Three.js / WebGL renderer · 60 FPS target · runs fully client-side, no install