{
  "id": 3509,
  "curve_key": "-38649486272:-19246728492536320",
  "ainvs": [
    "0",
    "1",
    "0",
    "805197631",
    "22276574524831"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "naive_height": 74.99223498552387,
  "faltings_height": 4.322734199942791,
  "conductor": "36476637438549952",
  "bad_primes": [
    "2",
    "7",
    "23",
    "31",
    "41",
    "193",
    "233",
    "241",
    "257"
  ],
  "discriminant": "-247783851311154249210600226816",
  "regulator": "47075.8885651117616252156231056657495257178489578090742",
  "points": [
    [
      "-3237",
      "4431280"
    ],
    [
      "2011",
      "4889168"
    ],
    [
      "-72365/9",
      "105550928/27"
    ],
    [
      "30538",
      "8680175"
    ],
    [
      "1380835/121",
      "7640412976/1331"
    ],
    [
      "3771",
      "5036528"
    ],
    [
      "13029739/529",
      "91901526416/12167"
    ],
    [
      "-16371/4",
      "34790861/8"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-27 12:46:20",
  "updated_at": "2026-09-27 12:46:20"
}