{
  "id": 605,
  "curve_key": "14703674622692600949248200841730833578557121:-56432934929765765662444849173896822428078386420768872512097883169",
  "ainvs": [
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  "rank_lower_bound": 23,
  "torsion": [],
  "naive_height": 298.1918275987006,
  "faltings_height": 22.619153202543238,
  "conductor": "57360850747856842585355023684652801319747635987610118789586775701209181928530683942995056902230",
  "bad_primes": [
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    "3",
    "5",
    "7",
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    "1575036567619",
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    "929632751394724171673762076244159198515917"
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  "discriminant": "-3339352782903064132366427465075405065893719131182818363958041004753758976658545135242078529006315627223597915294653235200000",
  "regulator": "7693490628912856223051093.60736761365464723038917199988202753885446710003919820912188",
  "points": [
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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 = -313/73. 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 15:46:20",
  "updated_at": "2026-09-06 15:46:20"
}