{
  "id": 1641,
  "curve_key": "4586360280617609488:-10101022941296112174107010496",
  "ainvs": [
    "0",
    "1",
    "0",
    "-95549172512866864",
    "11690998742798553808334900"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    8
  ],
  "naive_height": 128.96486842174858,
  "faltings_height": 8.657752009805893,
  "conductor": "7443456979728",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "23",
    "59",
    "131",
    "11329"
  ],
  "discriminant": "-3216405674598248142821908149453917293058220122523648",
  "regulator": "5481.758758383166111122399117548966147013048776",
  "points": [
    [
      "9229127043302/51529",
      "6648867360790385724/11697083"
    ],
    [
      "38905781150/289",
      "5531742217795500/4913"
    ],
    [
      "11509018676/49",
      "509475515302494/343"
    ],
    [
      "4418953093054/14641",
      "5698485118299341172/1771561"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/8. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 02:13:19",
  "updated_at": "2026-09-25 02:13:19"
}