{
  "id": 2876,
  "curve_key": "223902273391228627507216:-105936472269725882551739817636556736",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-4664630695650596406400",
    "122611657721145018740841654400000"
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  "rank_lower_bound": 6,
  "torsion": [
    4,
    2
  ],
  "naive_height": 161.2964898900869,
  "faltings_height": 11.136150026466394,
  "conductor": "51197573456019679920",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "19",
    "29",
    "79",
    "181",
    "479",
    "719",
    "1021"
  ],
  "discriminant": "1263697382202885363203778072422808403136020331210660544552960000",
  "regulator": "92398.202506826902495188280920264857393310786875130",
  "points": [
    [
      "28260480960",
      "3654766624544480"
    ],
    [
      "-12857421920",
      "13433587750450560"
    ],
    [
      "13143969210",
      "7973123554358270"
    ],
    [
      "34512505410",
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    [
      "91860783045",
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    ],
    [
      "38608886722",
      "260090980468158"
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  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella (2006). Source: https://dujella.github.io/tors/z2z4old678.html (curve entry 98). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:26:25",
  "updated_at": "2026-09-26 20:26:25"
}