{
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  "rank_lower_bound": 28,
  "torsion": [],
  "naive_height": 420.1884838951687,
  "faltings_height": 32.91773477613295,
  "conductor": "3389128510548161319756016765334023590717644951355796487807190277570543774230467803189406795413101608614781556190293416559648058753190270430",
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      "-7851983511048995078590689460549005728845612201353780/3442951"
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      "14120991689567452211853706379792312654760300106380/357911"
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      "138270086583894370878645248870375640/508369",
      "-19075489909815272193555641849848801197627267693651660/362467097"
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      "4710912104989963491693186180069183451410902833378019389668/68463104809429"
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  ],
  "submitter": "Mundoamundo",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-09-11 20:14:42"
    }
  ],
  "commentary": "Fiber t = 19348/5487 of a rank-17 elliptic fibration of Elkies' K3 surface (arXiv:2608.25406). Found by a Mestre-Nagao sieve over t = a/b re-scored at 2^20, then an iterated 2-covering point search (fake 2-descent over 3000 cosets of the growing known lattice at level 0, minimal reduced quartic models, ratpoints). Basis LLL-reduced with respect to the canonical height. The 28 points are certified independent by the F2-rank of their images under the 2-descent map at the good primes.",
  "created_at": "2026-09-06 22:22:59",
  "updated_at": "2026-09-11 20:14:42"
}