Last geometric statement of Jacobi

The last geometric statement of Jacobi, often referred to as Jacobi's last theorem, pertains to the geometry of curves and is essentially connected to elliptic functions and their relation to algebraic curves. In its simplest form, Jacobi's last theorem asserts that if a non-singular algebraic curve can be parameterized by elliptic functions, then the degree of the curve must be 3 (a cubic curve).