{
  "id": 703,
  "curve_key": "17701837910736283759329:-2329738251563683574942543724260817",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-368788289807005911653",
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  "rank_lower_bound": 17,
  "torsion": [],
  "naive_height": 153.68386627148652,
  "faltings_height": 10.675564196239492,
  "conductor": "279994905038222043921553771939795968394925362682730",
  "bad_primes": [
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    "3",
    "5",
    "17",
    "31",
    "47",
    "5857193",
    "87980865933329",
    "243736953959434452071729"
  ],
  "discriminant": "69027925774446116816158334429346363019479418180162153140633600",
  "regulator": "2654814037986661.73730441074411945057267427212064853070382580110692603856",
  "points": [
    [
      "12876334463",
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    ],
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      "18487999103",
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    ],
    [
      "-3603034897",
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      "45816232313",
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      "10032881225",
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    [
      "-8631613965",
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    [
      "12052780527",
      "49325653250352"
    ],
    [
      "-15988844505",
      "2122628162694168"
    ],
    [
      "25476103175",
      "-3136247698855872"
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    [
      "-20243287897",
      "1366184567552448"
    ],
    [
      "75231276575",
      "20018500843586496"
    ],
    [
      "1741623293",
      "1435077111690228"
    ]
  ],
  "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 16:08:34",
  "updated_at": "2026-09-10 16:08:34"
}