{
  "id": 1499,
  "curve_key": "333988199176065501103072409792499361:-193017497859438682922347750438865240877006483046646641",
  "ainvs": [
    "1",
    "0",
    "0",
    "-6958087482834697939647341870677070",
    "223399881781757734283987791290239570859256792080900"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    8,
    2
  ],
  "naive_height": 245.3892411880435,
  "faltings_height": 17.89944422909931,
  "conductor": "203115553129265202510",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "47",
    "61",
    "113",
    "4241",
    "25457",
    "27653"
  ],
  "discriminant": "174463769460151579790686108831337017957879853634113876640097924973234807828911240675904100000000",
  "regulator": "26.54202315835330997128130435082455943005",
  "points": [
    [
      "45338974122592804479595462/935686921",
      "3218230519710145676781137438587659604/28621727226469"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=113/122 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).",
  "created_at": "2026-09-25 00:42:11",
  "updated_at": "2026-09-25 00:42:11"
}