The elliptic curve $y^2=x^3+x+1$ mod 5, over the field with 625 elements.
An elliptic curve on a torus with lattice parameter τ=21+211i (discriminant D=11) is lifted to S3 via the Hopf fibration and stereographically projected to R3. The curve uses a degree-11 perturbation: ϕ(t)=2π+ϵacos(11t), θ(t)=t+ϵsin(22t), giving an intricate surface with 11-fold near-symmetry. Rendered with a GPU pathtracer.
Controls: Click and drag to orbit, scroll to zoom.