{
  "id": 1722,
  "curve_key": "2410039712154688:-118293258924452744783360",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-50209160669889",
    "136913510861910900129"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4
  ],
  "naive_height": 106.25525886104991,
  "faltings_height": 6.568198414472207,
  "conductor": "666025540226112",
  "bad_primes": [
    "2",
    "3",
    "11",
    "23",
    "73",
    "311",
    "8273"
  ],
  "discriminant": "2845984335349021847898872944595482804224",
  "regulator": "40176.612729233761832897280647910725256403716256581",
  "points": [
    [
      "1910624",
      "6925126879"
    ],
    [
      "37255480/9",
      "1891576511/27"
    ],
    [
      "41666029/9",
      "51877275560/27"
    ],
    [
      "-1502875",
      "14456042248"
    ],
    [
      "16163053/4",
      "660023295/8"
    ],
    [
      "4039285",
      "92980392"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/4. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 06:15:57",
  "updated_at": "2026-09-25 06:15:57"
}