Commentary history

1 edit.

David Renshaw · 2026-05-28 21:13:24

Smallest conductor of an elliptic curve of rank 3: conductor 5077 (prime), Cremona label 5077a1 / LMFDB 5077.a1, y^2 + y = x^3 − 7x + 6. Cremona's tables are complete below conductor 500000, so 5077 is the provably minimal conductor in rank 3. Generators [1,0], [2,0], [0,2].