{"slug":"birch-swinnerton-dyer","name":"Birch and Swinnerton-Dyer","blurb":"The rank of an elliptic curve equals the order of vanishing of its L-function at s = 1.","kind":"curated","status":"live","definition":{"terms":["birch and swinnerton-dyer","birch-swinnerton-dyer","bsd conjecture"],"msc":["11G40"],"cats":["math.NT"]},"created_at":"2026-08-11T02:18:14.238165+00:00","updated_at":"2026-08-11T02:18:14.238165+00:00","counts":{"claims_by_tier":{"stated":34},"claims_by_method":{"signals":29,"phrase":5},"papers":34}}