Papex

Open problem · Mathematics · since 1965

Birch and Swinnerton-Dyer conjecture

Does an elliptic curve’s L-function tell how many rational points it has?

Summary

Relates the number of rational points on an elliptic curve to the behaviour of its associated L-function at s = 1.

Source

Open, as listed by Clay Mathematics Institute · Millennium Prize Problems. Checked 29 Sep 2026.

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Prize

Clay Mathematics Institute · $1,000,000

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