{
  "id": 1622,
  "curve_key": "1046431958160119301602860081:31284001645269027297565557818305767579479",
  "ainvs": [
    "1",
    "0",
    "0",
    "-21800665795002485450059585",
    "-36208335237581709427665275459789550775"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    6,
    2
  ],
  "naive_height": 186.64555125944648,
  "faltings_height": 13.513785825408034,
  "conductor": "687236202706563510",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "23",
    "41",
    "103",
    "131",
    "241",
    "439"
  ],
  "discriminant": "96744791467033609771346051774455084012857520301266704254538804507805929000000",
  "regulator": "14047.60312173900275850735156789971228645433427",
  "points": [
    [
      "-173819219151178120/54289",
      "11101597584474990987629755/12649337"
    ],
    [
      "6741054520070",
      "11097651674497137815"
    ],
    [
      "4941619742861450676950/76020961",
      "346459070671104924124290555740585/662826758959"
    ],
    [
      "12624595451776025434262/1617567961",
      "1067113803235446748145515725562313/65056965823459"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/6+Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:45:16",
  "updated_at": "2026-09-25 01:45:16"
}