{
  "id": 2096,
  "curve_key": "4716292329545776111517916656713134328336:-323892636081253268946160416326675928461968797422179265530816",
  "ainvs": [
    "0",
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  "rank_lower_bound": 9,
  "torsion": [
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  "naive_height": 274.05552478283624,
  "faltings_height": 19.995846093378518,
  "conductor": "23515327282613507747374277141873040",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "59",
    "79",
    "83",
    "101",
    "107",
    "193",
    "223",
    "1997",
    "5077",
    "3156073"
  ],
  "discriminant": "485622882552660085321459001065903026614520512211150998954504401434981013670572464344310103313510400",
  "regulator": "228104127193.59743382516840268011422085938935805730756923",
  "points": [
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      "7579775168110770548",
      "-8099223583573017059203481442"
    ],
    [
      "7150276346361836996",
      "-6155144007976217634125913090"
    ],
    [
      "36936919778769189278828/5929",
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    ],
    [
      "11081591479749891023",
      "-25433832214927404027671553642"
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    [
      "5722940071098898607",
      "-4702753662804920701170"
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    [
      "25690273089254691973748/4489",
      "-55740276420921398918541930/300763"
    ],
    [
      "366268121767801698929/64",
      "-989528339162698599146025/512"
    ],
    [
      "1688368500100836042639383431/267289801",
      "-10934020991788119356755771237627455311250/4369920956549"
    ],
    [
      "23358455068819570422623780684/4081548769",
      "-184796979038437382220340272472249950/260757906205103"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1107 (Dujella - Peral (2012)). Isogenous to curve#2103 (also ours).",
  "created_at": "2026-09-26 06:56:15",
  "updated_at": "2026-09-26 06:56:15"
}