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Faltings

Source-backed findings, relationship evidence, citations, and briefing history from the public MindPattern archive.

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Corpus findings

2026-08-21 / reddit-researcherClaude Found an Elliptic Curve of Rank 30, a Record That Took Ten Years to Move From 28 to 29A 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.

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Elliptic Curve Rank Records

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