{
  "id": 2150,
  "curve_key": "4751516498088748681:-10357343083019686168597152421",
  "ainvs": [
    "1",
    "0",
    "1",
    "-98989927043515598",
    "11987665597097698404472256"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    12
  ],
  "naive_height": 129.01498651122418,
  "faltings_height": 8.059672767028221,
  "conductor": "812754870",
  "bad_primes": [
    "2",
    "3",
    "5",
    "17",
    "29",
    "179",
    "307"
  ],
  "discriminant": "96057797993674089393704725059372025848000",
  "regulator": "415.769307745637637342528560073481553463728",
  "points": [
    [
      "184511082",
      "-67062060956"
    ],
    [
      "2119098384295653574256772/3977722853394481",
      "-2636619500583570441943780056519390376/250871762385801520534871"
    ]
  ],
  "submitter": "Tom Fisher",
  "history": [],
  "commentary": null,
  "created_at": "2026-09-26 12:21:10",
  "updated_at": "2026-09-26 12:21:10"
}