{
  "id": 1369,
  "curve_key": "1313780472256:-691579231535006720",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-27370426505",
    "800448048863241"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "naive_height": 83.71178986120553,
  "faltings_height": 5.029964381106523,
  "conductor": "1752168876938623852224",
  "bad_primes": [
    "2",
    "3",
    "31",
    "73",
    "79",
    "97",
    "257",
    "857",
    "1249",
    "1913"
  ],
  "discriminant": "1035490968344555729018679297871872",
  "regulator": "903766.19922856796766131403266526014981882140651739377950",
  "points": [
    [
      "-177355",
      "8719704"
    ],
    [
      "-132679",
      "45785016"
    ],
    [
      "237869",
      "88027488"
    ],
    [
      "-13825",
      "34295796"
    ],
    [
      "24569",
      "-11950488"
    ],
    [
      "387811",
      "220253264"
    ],
    [
      "29965",
      "-2682896"
    ],
    [
      "206585",
      "62949096"
    ],
    [
      "-5293",
      "30743640"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:40:05",
  "updated_at": "2026-09-24 17:40:05"
}