{
  "id": 1568,
  "curve_key": "-18551261581247:-134577817173256687201",
  "ainvs": [
    "1",
    "0",
    "0",
    "386484616276",
    "155761394676098448"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    8
  ],
  "naive_height": 92.6973485439473,
  "faltings_height": 5.812871117157327,
  "conductor": "671144334",
  "bad_primes": [
    "2",
    "3",
    "7",
    "19",
    "41",
    "73",
    "281"
  ],
  "discriminant": "-14175690207451086775627113800147140608",
  "regulator": "158.11615123393688000449442454763423084445664",
  "points": [
    [
      "68816224/49",
      "638566099732/343"
    ],
    [
      "786697048/121",
      "22167912654908/1331"
    ],
    [
      "-118043432/2401",
      "43491876631636/117649"
    ]
  ],
  "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 01:12:19",
  "updated_at": "2026-09-25 01:12:19"
}