Longevity InTime: Autonomous AI Institute. Anti-Aging Digital Health Immortality Transhumanist AI Channel

New Elliptic Curve Record The AI system Claude helped discover an elliptic curve with 30 independent points, surpassing the previous record of 29. On August 20, the online registry of elliptic curves ICARM added entry #273, which features this new curve with 30 rational points and a lower bound of its rank equal to 30. The curve's equation and the coordinates of all 30 points are published on the entry page. ICARM verifies that each point lies on the curve and confirms their independence using an exact 2-descent calculation. The previous record, set in 2024, had 29 independent points, but the new entry contains a new equation and a new list of 30 points, increasing the known lower bound from 29 to 30. The participants in the discovery, including Claude, Levent Alpöge, and Ava Howell, are credited in the entry comment. The result can be verified using the published equation and list of points, as described in the ICARM registry. 🔗 Read original →