{
  "id": 709,
  "curve_key": "26887573481779862853681:-4028321713318438410055795521184425",
  "ainvs": [
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  "rank_lower_bound": 16,
  "torsion": [],
  "naive_height": 154.9378535411991,
  "faltings_height": 10.8779419384728,
  "conductor": "2163467356080881562813504882331472558986861814",
  "bad_primes": [
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    "11",
    "13",
    "17",
    "37",
    "59",
    "228619",
    "523722169",
    "243203789580480755194967"
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  "discriminant": "1858084360591292053554937673443983445315471988796250392102633472",
  "regulator": "3897015030497.646183794582934629696977314204559870403789035399794596180",
  "points": [
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      "-798390763",
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      "17185125333",
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      "-26844552619",
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    [
      "86149312357/9",
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      "199482525765",
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      "27747658153",
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    [
      "370181171293/9",
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      "10137438869",
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    [
      "7057881661",
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      "261038931445",
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      "25970431471",
      "-2762434626019253"
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    [
      "-19694052779",
      "2838272585421781"
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  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Found by a search of rational specializations of Mestre families, using finite-field scores to select fibers and rational-point searches to construct the witness. Point independence checked with the site verifier.",
  "created_at": "2026-09-10 16:08:43",
  "updated_at": "2026-09-10 16:08:43"
}