{
  "id": 1785,
  "curve_key": "3981755381591521:-215958238126972814425681",
  "ainvs": [
    "1",
    "0",
    "0",
    "-82953237116490",
    "249951657586041368100"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    8,
    2
  ],
  "naive_height": 107.76149750287175,
  "faltings_height": 6.971051185568688,
  "conductor": "1392925170",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "31",
    "109",
    "151"
  ],
  "discriminant": "9542989595880887759867635775206640100000000",
  "regulator": "8.596923229412317012106942655508983320958",
  "points": [
    [
      "-8740307628/961",
      "473127686137002/29791"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=13/7 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).",
  "created_at": "2026-09-25 14:36:26",
  "updated_at": "2026-09-25 14:36:26"
}