{
  "id": 1504,
  "curve_key": "1306622070862813101264283276050683674561:-38724302792531111080270408627230435628047730205663880193441",
  "ainvs": [
    "1",
    "0",
    "0",
    "-27221293142975272943005901584389243220",
    "44819794898762860044340828149231731453878825568967424400"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    8,
    2
  ],
  "naive_height": 270.2047915856337,
  "faltings_height": 20.520469572902492,
  "conductor": "57923970284940543657510",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "31",
    "37",
    "41",
    "43",
    "4297",
    "5641",
    "25463"
  ],
  "discriminant": "423132861692420726561876599212564711444934586076190023921864325100416689024871800814765539134690064079257600000000",
  "regulator": "832.169674784876660089126408520578081022292",
  "points": [
    [
      "129832497108499611626741270696/31840476721",
      "7230613110480470482633836201327397225032628/5681582825618519"
    ],
    [
      "4610013983508219384548820172946077160/450171834634474681",
      "8753896909361144009808864923786913557391481651876865540/302042098733203615491466579"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=91/296 of the universal torsion Z/2xZ/8 family y^2=x(x+16t^4)(x+(t^2-1)^4).",
  "created_at": "2026-09-25 00:42:42",
  "updated_at": "2026-09-25 00:42:42"
}