FrontierMath marked the elliptic curve rank problem solved, crediting Claude alongside two mathematicians.

Epoch AI's open-problems board lists a curve over Q of rank at least 30 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 (Epoch AI). That beats the Elkies and Klagsbrun record of 29 from 2024, which was itself the first improvement in eighteen years. Assuming BSD and GRH, the curves have rank exactly 30 and 31.