{
  "id": 1780,
  "curve_key": "1436913066730948321:-1712423699163854211877948369",
  "ainvs": [
    "1",
    "0",
    "0",
    "-29935688890228090",
    "1981971871537597930302692"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    8,
    2
  ],
  "naive_height": 125.42708634839975,
  "faltings_height": 8.294388279848944,
  "conductor": "44941883910",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "41",
    "103",
    "271"
  ],
  "discriminant": "19923042016357631752615257584464135090742996640000",
  "regulator": "45.1871789295164249442038260630405357888706",
  "points": [
    [
      "-242200815124/2209",
      "206248697140351234/103823"
    ],
    [
      "184563415196/289",
      "76635811544920654/4913"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=17/11 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).",
  "created_at": "2026-09-25 14:35:49",
  "updated_at": "2026-09-25 14:35:49"
}