{
  "id": 1305,
  "curve_key": "309329850816:-135481084000164864",
  "ainvs": [
    "0",
    "0",
    "0",
    "-6444371892",
    "156806810185376"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2,
    2
  ],
  "naive_height": 79.37302206858959,
  "faltings_height": 4.62605894315888,
  "conductor": "11336746656960",
  "bad_primes": [
    "2",
    "3",
    "5",
    "47",
    "53",
    "79",
    "83",
    "241"
  ],
  "discriminant": "6506417378682245380769856000000",
  "regulator": "835.79006987221758450351150671197449375121939380988",
  "points": [
    [
      "15142",
      "7918200"
    ],
    [
      "-15068",
      "15826860"
    ],
    [
      "67930",
      "5701104"
    ],
    [
      "63142",
      "1279800"
    ],
    [
      "576178/9",
      "69504200/27"
    ],
    [
      "-9758",
      "14790600"
    ]
  ],
  "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 17:29:04",
  "updated_at": "2026-09-24 17:29:04"
}