{
  "id": 1107,
  "curve_key": "294768275409883760232950718922462552336:-5060822265229365930787160571502504158223898541416205908416",
  "ainvs": [
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    "1",
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  ],
  "rank_lower_bound": 9,
  "torsion": [
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  "naive_height": 265.73775866510397,
  "faltings_height": 19.649272503098544,
  "conductor": "23515327282613507747374277141873040",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
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    "83",
    "101",
    "107",
    "193",
    "223",
    "1997",
    "5077",
    "3156073"
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  "discriminant": "1742571860758082912490609500428852720184110266244421976008375712324617057421863093650240206714774735360000",
  "regulator": "445515873.42499498793978203648459808761599483995567884615",
  "points": [
    [
      "-612695149795875652",
      "3064309824349077381027308358"
    ],
    [
      "-431590874944672564",
      "2903005768083873104158859430"
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      "2170847073897415394832351000"
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    [
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    ],
    [
      "1428519047239049546",
      "4551549120021779137548000"
    ],
    [
      "1430248713837731282",
      "818226000869154831593640"
    ],
    [
      "1429305792931194266",
      "2901212522992755483557760"
    ],
    [
      "103900694057898826",
      "2284841365124562079087206240"
    ],
    [
      "1429854291102331316",
      "1726936504767203175719910"
    ]
  ],
  "submitter": "dujella",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "dujella",
      "at": "2026-09-23 20:06:22"
    }
  ],
  "commentary": "found by Dujella - Peral (2012)",
  "created_at": "2026-09-23 20:04:43",
  "updated_at": "2026-09-23 20:06:21"
}