{
  "id": 4164,
  "curve_key": "76326239209024:-658134665893151263232",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-1590129983521",
    "761730467419660321"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2,
    2
  ],
  "naive_height": 95.89811367110858,
  "faltings_height": 5.868309786205954,
  "conductor": "1049230666712640",
  "bad_primes": [
    "2",
    "3",
    "5",
    "23",
    "41",
    "73",
    "353",
    "1097"
  ],
  "discriminant": "6662115617407171194537462343311360000",
  "regulator": "25324.21550168194214861884802298098663491980506585540",
  "points": [
    [
      "919603",
      "277707924"
    ],
    [
      "416656",
      "-414156375"
    ],
    [
      "1122931",
      "-626186700"
    ],
    [
      "24959256",
      "124538355875"
    ],
    [
      "805231",
      "-58456800"
    ],
    [
      "-1275119",
      "-846216000"
    ],
    [
      "1007056",
      "-426259575"
    ]
  ],
  "submitter": "NDElkies",
  "history": [],
  "commentary": null,
  "created_at": "2026-10-11 18:50:53",
  "updated_at": "2026-10-11 18:50:53"
}