Elliptic Curve Rank Leaderboard
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1 edit.
David Renshaw · 2026-05-28 21:13:43
Smallest conductor of an elliptic curve of rank 4: conductor 234446 = 2·117223, Cremona label 234446a1 / LMFDB 234446.a1, y^2 + x·y = x^3 − x^2 − 79x + 289. By completeness of Cremona's tables below conductor 500000, this is the provably minimal conductor in rank 4. Generators [6,−1], [4,3], [5,−2], [8,7].
David Renshaw · 2026-05-28 21:13:43