{
  "id": 5743,
  "curve_key": "0:378959876779898376",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-438610968495253"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 80.95241345674562,
  "faltings_height": 4.803690363853764,
  "conductor": "83107979287636435376946891717267",
  "bad_primes": [
    "3",
    "23",
    "4423",
    "5748750353"
  ],
  "discriminant": "-83107979287636435376946891717267",
  "regulator": "16039380571.1872491504289847640711801203136168288200529857119",
  "points": [
    [
      "83407",
      "11900790"
    ],
    [
      "93547",
      "19494170"
    ],
    [
      "134395",
      "44596341"
    ],
    [
      "135985",
      "45563283"
    ],
    [
      "150169",
      "54293732"
    ],
    [
      "219055",
      "100363158"
    ],
    [
      "439237",
      "290349800"
    ],
    [
      "1203775/9",
      "1193571082/27"
    ],
    [
      "5803441/64",
      "8971077609/512"
    ],
    [
      "2081329/25",
      "1470671892/125"
    ],
    [
      "6409285/49",
      "14549379713/343"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Constructed from the Burkhardt quartic via the rational Bruin–Nasserden parametrization with parameters (u,v,w)=(9/6,-12/6,-10/6) and specialization t=-421/568. The specialization was selected through a three-stage Mestre–Nagao sieve over 328 primes. \r\n\r\nPARI/GP 2.17.4 returned matching computational rank bounds [11,11] for this model and its rationally 3-isogenous partner.",
  "created_at": "2026-10-24 18:12:35",
  "updated_at": "2026-10-24 18:12:35"
}