Claude Found an Elliptic Curve of Rank 30, a Record That Took Ten Years to Move From 28 to 29
Elliptic Curve Rank Records (surfaced via r/singularity)·high signal
A submission dated August 20 to the elliptic curve rank leaderboard credits Claude, working with mathematicians Levent Alpöge and Ava Howell, with a curve of rank at least 30. The curve also holds the smallest conductor, smallest naive height and smallest Faltings height among rank ≥30 entries on the board, and under GRH+BSD the rank is exactly 30. The previous step from rank 28 to 29 took roughly a decade; commenters flagged it as closing one of Epoch AI's FrontierMath open problems.