{
  "id": 1779,
  "curve_key": "184848353369562241:-79473680127520684817220289",
  "ainvs": [
    "1",
    "0",
    "0",
    "-3851007361865880",
    "91983425752602030975552"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    8,
    2
  ],
  "naive_height": 119.27493651697782,
  "faltings_height": 7.4608293425274494,
  "conductor": "302411130",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "23",
    "29",
    "127"
  ],
  "discriminant": "931070454323424230940837829622303293440000",
  "regulator": "29.9597410164076365742877022965090208598204",
  "points": [
    [
      "26320944",
      "94094324328"
    ],
    [
      "615030430584/17161",
      "-10546168471752/2248091"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=9/8 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).",
  "created_at": "2026-09-25 14:35:42",
  "updated_at": "2026-09-25 14:35:42"
}