{
  "id": 1285,
  "curve_key": "11521785744:-1031162387297472",
  "ainvs": [
    "0",
    "0",
    "0",
    "-240037203",
    "1193474985298"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2,
    2
  ],
  "naive_height": 69.50251647810288,
  "faltings_height": 3.7912636818075205,
  "conductor": "91255685040",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "23",
    "29",
    "47",
    "311"
  ],
  "discriminant": "269814241688677625571840000",
  "regulator": "229.238162882334167400062187240625982714681644277",
  "points": [
    [
      "-9751",
      "1614600"
    ],
    [
      "-2623",
      "1343520"
    ],
    [
      "-5422",
      "1528254"
    ],
    [
      "337481/25",
      "80342496/125"
    ],
    [
      "-4369",
      "1469286"
    ]
  ],
  "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 17:25:40",
  "updated_at": "2026-09-24 17:25:40"
}