{
  "id": 5781,
  "curve_key": "0:35165032089901194530656800",
  "ainvs": [
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  "rank_lower_bound": 7,
  "torsion": [],
  "family": "mordell",
  "families": [
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    "cubesum"
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  "naive_height": 117.6441888283379,
  "faltings_height": 7.8613383114864535,
  "conductor": "162801074490283308012300",
  "bad_primes": [
    "2",
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    "5",
    "17",
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    "53",
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  ],
  "discriminant": "-715613126090150910358661738468863501177684830000",
  "regulator": "991977386.2602353730523540312588310624613925485347201",
  "points": [
    [
      "31770696436969951/841754169",
      "-2791766107850927221239526/24421813705197"
    ],
    [
      "3638802386929/576",
      "-6941249757803622583/13824"
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    [
      "2327754691/9",
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      "162762613099/3969",
      "-42037243132332932/250047"
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    [
      "15575663037751/136161",
      "60629464875756019474/50243409"
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      "38093706163079444654/970299"
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    [
      "37717781239/961",
      "4187701927793062/29791"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "Voznyy (2026), A = 77650946070, [r, s, t] = [-102, -17, 118] for S2 in https://arxiv.org/pdf/math/0403116",
  "created_at": "2026-10-25 03:53:22",
  "updated_at": "2026-10-25 03:53:22"
}