{
  "id": 5727,
  "curve_key": "0:11547380342932488",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-13365023545061"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 73.97046999203492,
  "faltings_height": 4.221861741794539,
  "conductor": "25721835027844063303543851441",
  "bad_primes": [
    "3",
    "53460094180243"
  ],
  "discriminant": "-77165505083532189910631554323",
  "regulator": "4441143431.457319986771048531575589798947847207215747021473",
  "points": [
    [
      "100633/4",
      "12796439/8"
    ],
    [
      "29971",
      "3681949"
    ],
    [
      "32341",
      "4523464"
    ],
    [
      "83623",
      "23903857"
    ],
    [
      "117787",
      "40258981"
    ],
    [
      "177337",
      "74589556"
    ],
    [
      "911641/36",
      "366191855/216"
    ],
    [
      "5799361/36",
      "13943599165/216"
    ],
    [
      "20716439/25",
      "94290417262/125"
    ],
    [
      "507874663/8281",
      "11109001158562/753571"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Constructed from the rational Bruin–Nasserden parametrization of the Burkhardt quartic with parameters (u,v,w)=(13/5,7/5,2/5) and specialization t=-518/947. \r\n\r\nThe specialization was selected using a three-stage Mestre–Nagao sieve.\r\n\r\nPARI/GP 2.17.4 returned matching computational rank bounds [10,10].",
  "created_at": "2026-10-24 16:58:48",
  "updated_at": "2026-10-24 16:58:48"
}