{
  "id": 6008,
  "curve_key": "0:-76043714478552",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "88013558424"
  ],
  "rank_lower_bound": 9,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 63.92465896272697,
  "faltings_height": 3.3847108226855434,
  "conductor": "1115479651175837012590281",
  "bad_primes": [
    "3",
    "449",
    "784085153"
  ],
  "discriminant": "-3346438953527511037770843",
  "regulator": "13637786.043975132221779241867155046810024559015337252400",
  "points": [
    [
      "-3564",
      "206744"
    ],
    [
      "-1668",
      "288743"
    ],
    [
      "-1408",
      "291928"
    ],
    [
      "-1074",
      "294575"
    ],
    [
      "4616",
      "431704"
    ],
    [
      "36569/4",
      "7384865/8"
    ],
    [
      "17162",
      "2267776"
    ],
    [
      "19812",
      "2804376"
    ],
    [
      "33668",
      "6184807"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Constructed from the Burkhardt quartic using the rational Bruin–Nasserden parametrization with parameters (u,v,w)=(-1,2,2) and specialization t=-446/127.\r\n\r\nPARI/GP 2.17.4 returned matching computational rank bounds [9,9].",
  "created_at": "2026-10-27 22:40:16",
  "updated_at": "2026-10-27 22:40:16"
}