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.
The status is the source’s. Papex does not decide whether a problem is solved.
Prize
Clay Mathematics Institute · $1,000,000
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