{
  "id": 2109,
  "curve_key": "807597683334891217493721523216:-1926470934659498673182683864631918962845814336",
  "ainvs": [
    "0",
    "1",
    "0",
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  "rank_lower_bound": 8,
  "torsion": [
    4
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  "naive_height": 208.54403796516067,
  "faltings_height": 15.430678418047613,
  "conductor": "1128310354841987032068083640",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "19",
    "23",
    "31",
    "41",
    "53",
    "61",
    "67",
    "109",
    "257",
    "263",
    "6857"
  ],
  "discriminant": "-1842918826394226368055731166624954123981130379579930000290272035202111592968430358246400",
  "regulator": "233557909.634031665003976922249867242089139925297950721",
  "points": [
    [
      "-165288063267904/25",
      "191240247832121108883444/125"
    ],
    [
      "97456826846789/4",
      "10834753198037905525935/8"
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      "221261040094736",
      "3056003923907204427300"
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      "-20608229963264",
      "1602401918009707460100"
    ],
    [
      "1651693171244096",
      "66935851571739081130500"
    ],
    [
      "414246644582014624/289",
      "265624822726722257019281340/4913"
    ],
    [
      "1309319642593070336/7921",
      "1403763255186224717247792420/704969"
    ],
    [
      "-358698438158106688/5329",
      "680195329801737863690034276/389017"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1108 (Eroshkin (2008)); 4-isogenous partner of curve#1147, curve#1166 (David Renshaw); 8-isogenous partner of curve#1136 (David Renshaw).",
  "created_at": "2026-09-26 06:58:12",
  "updated_at": "2026-09-26 06:58:12"
}