{
  "id": 1277,
  "curve_key": "4262794704:-104406467375808",
  "ainvs": [
    "0",
    "0",
    "0",
    "-88808223",
    "120840818722"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2,
    2
  ],
  "naive_height": 66.5195724478032,
  "faltings_height": 3.6023788730083304,
  "conductor": "31345170120",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "31",
    "37",
    "67",
    "103"
  ],
  "discriminant": "38518701920947646887737600",
  "regulator": "80.0633469534052244821786354443709065326752315626",
  "points": [
    [
      "76169",
      "20863062"
    ],
    [
      "-11431/4",
      "4741605/8"
    ],
    [
      "123553/9",
      "32945374/27"
    ],
    [
      "-305731/49",
      "-225455670/343"
    ],
    [
      "-3811",
      "635562"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2+Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:24:18",
  "updated_at": "2026-09-24 17:24:18"
}