{
  "id": 2023,
  "curve_key": "33647488462213888532585616:-195177120716191610452368571141616070336",
  "ainvs": [
    "0",
    "0",
    "0",
    "-700989342962789344428867",
    "225899445273369919505056216599092674"
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  "rank_lower_bound": 10,
  "torsion": [
    2
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  "naive_height": 176.33394194424312,
  "faltings_height": 12.221722839773093,
  "conductor": "81988082219777126188462072560",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "31",
    "41",
    "89",
    "107",
    "109",
    "127",
    "131",
    "137",
    "163",
    "337",
    "1279"
  ],
  "discriminant": "7348646712274321416635445837713783611867780529001435459147469824000",
  "regulator": "35628697642.57981255965173108151241631110098387752269159035",
  "points": [
    [
      "483706329863",
      "-331872261899310"
    ],
    [
      "485262375138",
      "-2251336853607610"
    ],
    [
      "512121756903",
      "-34943607174097490"
    ],
    [
      "4548049482607/9",
      "-719102958541045210/27"
    ],
    [
      "35807970847257/64",
      "-48143845669046363005/512"
    ],
    [
      "935296232418",
      "-623252995473710470"
    ],
    [
      "483577658463",
      "-122474429127490"
    ],
    [
      "1308654232635743/1681",
      "-26869987233800647557390/68921"
    ],
    [
      "9349385629421663/19321",
      "1566839017146109381290/2685619"
    ],
    [
      "23704567164191/49",
      "141966873620186670/343"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1085 (dujella); 4-isogenous partner of curve#1137 (David Renshaw). Isogenous to curve#2091 (also ours).",
  "created_at": "2026-09-26 05:02:12",
  "updated_at": "2026-09-26 05:02:12"
}