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.

# Coates-Wiles Theorem

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## References

Cipra, B. "Fermat Prover Points to Next Challenges."*Science*

**271**, 1668-1669, 1996.

## Referenced on Wolfram|Alpha

Coates-Wiles Theorem## Cite this as:

Weisstein, Eric W. "Coates-Wiles Theorem."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/Coates-WilesTheorem.html