The elliptic curve $y^2=x^3+3x$ mod 5, over the field with 625 elements, embedded in a characteristic zero curve with square symmetry.
An elliptic curve on a torus with square lattice parameter τ=i (discriminant D=4) is lifted to S3 via the Hopf fibration and stereographically projected to R3. The base curve is a great circle (ϕ=π/2), giving the standard Clifford torus. Rational points from the elliptic curve are displayed as conformally-scaled spheres. Rendered with a GPU pathtracer.
Controls: Click and drag to orbit, scroll to zoom.
