FrontierMath Marked the Elliptic Curve Rank Problem Solved, With Claude Credited Alongside Two Mathematicians
Epoch AI, via r/singularity·high signal
Epoch AI's FrontierMath open-problems board now lists the elliptic curve rank problem as solved: a curve over Q of rank at least 30 was posted August 20 credited to Claude with Levent Alpöge and Ava Howell, followed by a rank-31 curve on August 23 from the same team. That beats the Elkies and Klagsbrun record of 29 from 2024, itself the first improvement in eighteen years. Assuming BSD and GRH the curves have rank exactly 30 and 31.