Coates-Wiles Theorem

In 1976, Coates and Wiles showed that elliptic curves with complex multiplication having an infinite number of solutions have -functions which are zero at the relevant fixed point. This is a special case of the Swinnerton-Dyer conjecture.

REFERENCES:

Cipra, B. "Fermat Prover Points to Next Challenges." Science 271, 1668-1669, 1996.