{
  "id": 1651,
  "curve_key": "1813006413025:-2666559312892768625",
  "ainvs": [
    "1",
    "1",
    "1",
    "-37770966938",
    "3086279763130406"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4
  ],
  "naive_height": 84.85464133685795,
  "faltings_height": 5.0355078888334734,
  "conductor": "379817931075",
  "bad_primes": [
    "3",
    "5",
    "11",
    "19",
    "31",
    "71",
    "101",
    "109"
  ],
  "discriminant": "-666204012562703260503406794609375",
  "regulator": "1093.41499423393443112471886957744429953643044436",
  "points": [
    [
      "41434",
      "39884327"
    ],
    [
      "938935/9",
      "-454231616/27"
    ],
    [
      "488834295/1156",
      "9835754849383/39304"
    ],
    [
      "21139731/196",
      "-44997853333/2744"
    ],
    [
      "145284",
      "25721977"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/4. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 02:26:23",
  "updated_at": "2026-09-25 02:26:23"
}