{
  "id": 4248,
  "curve_key": "3622051707616:-18150713656776172160",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-75459410575",
    "21007795589220391"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    2
  ],
  "naive_height": 88.69048310752649,
  "faltings_height": 5.442752726982909,
  "conductor": "168010591633224367516032",
  "bad_primes": [
    "2",
    "3",
    "23",
    "41",
    "73",
    "127",
    "223",
    "911",
    "1481",
    "4057"
  ],
  "discriminant": "-163153804013067166330169176358899968",
  "regulator": "13350614.50369941357026185672255081052834061612906939090614",
  "points": [
    [
      "227559",
      "124979942"
    ],
    [
      "728215",
      "593487054"
    ],
    [
      "-337826",
      "89134533"
    ],
    [
      "7419373",
      "-20195940852"
    ],
    [
      "37789861/196",
      "-320309671779/2744"
    ],
    [
      "1581271",
      "1963548306"
    ],
    [
      "47638462/169",
      "326866676319/2197"
    ],
    [
      "-2610",
      "145618429"
    ],
    [
      "2629303",
      "4242591522"
    ],
    [
      "100164334/25",
      "1000271042577/125"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-10-15 18:12:09",
  "updated_at": "2026-10-15 18:12:09"
}