{
  "id": 1784,
  "curve_key": "1179513791342881:-40182527344342220148529",
  "ainvs": [
    "1",
    "0",
    "0",
    "-24573203986310",
    "46507552748925385572"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    8,
    2
  ],
  "naive_height": 104.1116361217233,
  "faltings_height": 6.5318848392374536,
  "conductor": "181937910",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "41",
    "113"
  ],
  "discriminant": "15258299858617672400014141082234555040000",
  "regulator": "6.629571302574997490119741870154411933482",
  "points": [
    [
      "26572511266/10609",
      "894574567553296/1092727"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=11/7 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).",
  "created_at": "2026-09-25 14:36:18",
  "updated_at": "2026-09-25 14:36:18"
}