{
  "id": 2851,
  "curve_key": "2433294815108602462595208111889:-3660443241142766194297155323576783669990865913",
  "ainvs": [
    "1",
    "0",
    "0",
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  ],
  "rank_lower_bound": 5,
  "torsion": [
    6,
    2
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  "naive_height": 209.9003970593247,
  "faltings_height": 15.414838482382972,
  "conductor": "927841267253365100790",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "19",
    "73",
    "107",
    "181",
    "277",
    "1579",
    "2011"
  ],
  "discriminant": "583627380888072657234566331174654594226030906164220329542917447505832361905631620801600",
  "regulator": "211892.853509430046684063936127056005377715731783",
  "points": [
    [
      "108696293830938",
      "103185468687769355481"
    ],
    [
      "193089718277808",
      "1283468049814857223911"
    ],
    [
      "53537120318946",
      "1294635771683411706549"
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    [
      "151989120480858",
      "206871951370157723481"
    ],
    [
      "353299089897679681338/32137561",
      "349528215854277001002627687709749/182187833309"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Voznyy (2021). Source: https://dujella.github.io/tors/z2z6old5.html (curve entry 25). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:25:18",
  "updated_at": "2026-09-26 20:25:18"
}