{
  "id": 1631,
  "curve_key": "258521940143894678241:-4073620591870848040142944874961",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-5385873752997805797",
    "4714838649345135151377859869"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    7
  ],
  "naive_height": 141.00453671721286,
  "faltings_height": 9.646454157244024,
  "conductor": "8787679865510",
  "bad_primes": [
    "2",
    "5",
    "7",
    "13",
    "17",
    "37",
    "743",
    "20663"
  ],
  "discriminant": "395581910381846016322801256035051493057420800000000000000",
  "regulator": "564.4542678744337234749854171507559012167425727",
  "points": [
    [
      "1180585407",
      "1353391631136"
    ],
    [
      "1718873339",
      "23143449856708"
    ],
    [
      "193321210567/121",
      "18257440360341216/1331"
    ],
    [
      "41525850367",
      "8449126084350496"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/7. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:55:19",
  "updated_at": "2026-09-25 01:55:19"
}