{
  "id": 1783,
  "curve_key": "561133823439361:7086096016327540143359",
  "ainvs": [
    "1",
    "0",
    "0",
    "-11690287988320",
    "-8201500993088281600"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    8,
    2
  ],
  "naive_height": 101.88294161237769,
  "faltings_height": 6.538437116869122,
  "conductor": "36278970",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "97",
    "137"
  ],
  "discriminant": "73189875885488900316097964994585600000000",
  "regulator": "12.73210820610761561305653538838086233319",
  "points": [
    [
      "-21691494617440/10621081",
      "92625057142647371840/34614102979"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=9/4 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).",
  "created_at": "2026-09-25 14:36:10",
  "updated_at": "2026-09-25 14:36:10"
}