{
  "id": 610,
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  "rank_lower_bound": 23,
  "torsion": [],
  "naive_height": 324.852851295823,
  "faltings_height": 24.820621797259747,
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  "regulator": "6835054646037091756050758.24265023662183816219322436016622526176423970401021434858650",
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  "submitter": "Bhavik Mehta",
  "history": [],
  "commentary": "Found by specializing Noam D. Elkies's rank-17 elliptic K3 fibration (arXiv:2608.25406) at t = 2004/247. The 6 points beyond the seventeen generic sections come from the surface's rational quadratic sections: writing x_tau = a/c^2 and y_tau = b/c^3 for a trace of height 10, the slope of the bisection is forced to be kappa/c with kappa = -b*a^(-1) mod c^2 of degree 5, so each section's point on this fibre is obtained by one polynomial evaluation and one square test rather than by any search. Claimed lower bound: rank >= 23.",
  "created_at": "2026-09-06 15:47:19",
  "updated_at": "2026-09-06 15:47:19"
}