{
  "id": 1787,
  "curve_key": "11081565104185921:-26785701547895858813281",
  "ainvs": [
    "1",
    "0",
    "0",
    "-230865939670540",
    "31001950145310419600"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    8,
    2
  ],
  "naive_height": 110.83217796343415,
  "faltings_height": 7.304223207645876,
  "conductor": "1038338070",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "137",
    "193"
  ],
  "discriminant": "787101126295770368467023601331142681600000000",
  "regulator": "9.735509916663982526044442933915459841423",
  "points": [
    [
      "-128464679080/10201",
      "31614556926965860/1030301"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=11/4 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).",
  "created_at": "2026-09-25 14:36:43",
  "updated_at": "2026-09-25 14:36:43"
}