{
  "id": 1782,
  "curve_key": "9229781555798734081:-23483072127243843461961371521",
  "ainvs": [
    "1",
    "0",
    "0",
    "-192287115745806960",
    "27179481612730522139193600"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    8,
    2
  ],
  "naive_height": 131.00690116610045,
  "faltings_height": 8.915500987316047,
  "conductor": "2601162690",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "23",
    "79",
    "401"
  ],
  "discriminant": "135891181772557058734964611732137249568987545600000000",
  "regulator": "41.8515739026297010640008696932344203895988",
  "points": [
    [
      "92020320",
      "3203758567440"
    ],
    [
      "7701585512130/5329",
      "20466102526437267180/389017"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=23/7 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).",
  "created_at": "2026-09-25 14:36:04",
  "updated_at": "2026-09-25 14:36:04"
}