{
  "id": 699,
  "curve_key": "1369489875106804317769:-50504415556462566745974947424197",
  "ainvs": [
    "1",
    "1",
    "0",
    "-28531039064725089953",
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  "rank_lower_bound": 17,
  "torsion": [],
  "naive_height": 146.00617580831224,
  "faltings_height": 9.988170379885295,
  "conductor": "5858355047047111277999276362771812224513127736824030",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "271",
    "373",
    "55469",
    "90191",
    "1844287",
    "19034504786154264790192620749"
  ],
  "discriminant": "10292661149258010746542488627281052333491604383380874787600",
  "regulator": "1607030376903663.80701034723347448891198396355935327254801102517189785432",
  "points": [
    [
      "1723268774",
      "-120021902063017"
    ],
    [
      "1605843114",
      "-129534008094357"
    ],
    [
      "3252623194",
      "8046965579523"
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    [
      "-4541198281",
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    [
      "-4987699171",
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      "2833528331",
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      "2559627418",
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    ],
    [
      "-3592231526",
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    [
      "17126886278",
      "-2143286397973213"
    ],
    [
      "514862619",
      "209525637765798"
    ],
    [
      "6853478419",
      "-429917774311177"
    ],
    [
      "14018519851/4",
      "-310762957935491/8"
    ],
    [
      "2665090766",
      "36682990067531"
    ],
    [
      "46024244389/16",
      "-871716500828353/64"
    ],
    [
      "48511288019",
      "-10622555827877002"
    ],
    [
      "-1165740886",
      "300216834476843"
    ]
  ],
  "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 16:08:26",
  "updated_at": "2026-09-10 16:08:26"
}