{
  "id": 1503,
  "curve_key": "147344628085665330277730686430633179549441:53787542797274758102552229349368991135909346256167588451322239",
  "ainvs": [
    "1",
    "0",
    "0",
    "-3069679751784694380786055967304857907280",
    "-62254100459808747804135701726270242050145766534506409977600"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    8,
    2
  ],
  "naive_height": 284.38077863536193,
  "faltings_height": 21.63689131835654,
  "conductor": "9619387484661599521170",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "31",
    "103",
    "137",
    "167",
    "193",
    "257",
    "769",
    "967"
  ],
  "discriminant": "176977351034673494641803936742953766466033032761568677189291243096946820262138642081197066355246900667186319385600000000",
  "regulator": "1161.73735416663632386039608321050232828896",
  "points": [
    [
      "-14086555299442611970467648160/422590249",
      "478299514584413064114567011507799186115760/8687187748693"
    ],
    [
      "-9598217286273952351805705359605286432990022512/282011909051014396321544569",
      "250466476470535773820897723530248811374171929704300732008430904253168/4735885269525082702835590163535804018253"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=245/579 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).",
  "created_at": "2026-09-25 00:42:33",
  "updated_at": "2026-09-25 00:42:33"
}