{
  "id": 5735,
  "curve_key": "0:241295807455848",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-279277554926"
  ],
  "rank_lower_bound": 9,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 66.23408942717647,
  "faltings_height": 3.5771633613896676,
  "conductor": "33694251560051893094021643",
  "bad_primes": [
    "3",
    "6427",
    "9533",
    "18233"
  ],
  "discriminant": "-33694251560051893094021643",
  "regulator": "84892713.023096598890964010593073861358252449325964878601",
  "points": [
    [
      "28289/4",
      "2182885/8"
    ],
    [
      "7682",
      "417206"
    ],
    [
      "9092",
      "687246"
    ],
    [
      "38369/4",
      "6213877/8"
    ],
    [
      "10862",
      "1001126"
    ],
    [
      "10886",
      "1005369"
    ],
    [
      "11336",
      "1085105"
    ],
    [
      "12206",
      "1240665"
    ],
    [
      "22718",
      "3383142"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Constructed by specializing a rank-four Mordell family arising from a rational parametrization of the Burkhardt quartic.\r\n\r\nThe construction parameters are (u,v,w) = (-2,1,4), with specialization t = 78/79.\r\n\r\n",
  "created_at": "2026-10-24 17:42:13",
  "updated_at": "2026-10-24 17:42:13"
}