{
  "id": 2796,
  "curve_key": "8963254146008776877351153994491363707201:-845963339538396138652936717896072961775442901645043831800801",
  "ainvs": [
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    "979124235576847382684597033191041431087287234552438410000"
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  "rank_lower_bound": 4,
  "torsion": [
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  "naive_height": 275.9818559212712,
  "faltings_height": 20.814959012306225,
  "conductor": "733110676848154824909690",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "23",
    "41",
    "103",
    "157",
    "179",
    "1721",
    "5196749"
  ],
  "discriminant": "2577079271418592157748476445692596737239745730527735368056419247523134515148282025200612976317036907295705436800000",
  "regulator": "391794.8148281803252398215955119451296200526697",
  "points": [
    [
      "-5710514747140022400",
      "-43119071959774152308676399900"
    ],
    [
      "35512172342223738248711400/361201",
      "209680437320717911654215167303833570500/217081801"
    ],
    [
      "520496225635820845011448680/55965361",
      "2866472932142118340340507801774393572500/418676865641"
    ],
    [
      "17134135927565201341566386400/19997636569",
      "80967502846094281568437665397281398037119700/2827925780131997"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella (2008). Source: https://dujella.github.io/tors/z10.html (curve entry 4). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:22:49",
  "updated_at": "2026-09-26 20:22:49"
}