{
  "id": 850,
  "curve_key": "175053073:-2731102838425",
  "ainvs": [
    "1",
    "0",
    "0",
    "-3646939",
    "3160694744"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4
  ],
  "naive_height": 57.271453227341006,
  "faltings_height": 2.765596973355401,
  "conductor": "61208589",
  "bad_primes": [
    "3",
    "13",
    "23",
    "29",
    "181"
  ],
  "discriminant": "-1212193375716638259711",
  "regulator": "59.96368580584818674549371459219365298144949254",
  "points": [
    [
      "-2023",
      "48554"
    ],
    [
      "-1897",
      "57986"
    ],
    [
      "-1523",
      "72754"
    ],
    [
      "-1465",
      "73943"
    ]
  ],
  "submitter": "y011d4",
  "history": [],
  "commentary": null,
  "created_at": "2026-09-23 00:57:20",
  "updated_at": "2026-09-23 00:57:20"
}