{
  "id": 5777,
  "curve_key": "0:1485246881314877898312295200",
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  "rank_lower_bound": 7,
  "torsion": [],
  "family": "mordell",
  "families": [
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    "cubesum"
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  "naive_height": 125.13075703863916,
  "faltings_height": 8.485218995678226,
  "conductor": "6876142969050360640334700",
  "bad_primes": [
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  "discriminant": "-1276596237532159139946464878673675067338256650430000",
  "regulator": "21170169.69528199095146219877851972355914696231877953",
  "points": [
    [
      "84406522847959/570025",
      "531935815581631958302/430368875"
    ],
    [
      "9068537569/36",
      "815829914492047/216"
    ],
    [
      "9157453561/64",
      "563293517695091/512"
    ],
    [
      "1524655712671/1089",
      "-1882008644505638194/35937"
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    [
      "3073514761314361/15776784",
      "-149276144065738880285459/62665386048"
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    [
      "868096665782311/4575321",
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    [
      "225859617912497042929/1685707529104",
      "-1813087414408550013413565962167/2188634998997120192"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "Voznyy (2026), A = -504650336190, [r, s, t] = [-43, 21, 54] for S2 in https://arxiv.org/pdf/math/0403116",
  "created_at": "2026-10-25 02:04:12",
  "updated_at": "2026-10-25 02:04:12"
}