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.
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ReferencesCipra, B. "Fermat Prover Points to Next Challenges." Science 271, 1668-1669, 1996.
Referenced on Wolfram|AlphaCoates-Wiles Theorem
Cite this as:
Weisstein, Eric W. "Coates-Wiles Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Coates-WilesTheorem.html