{
  "id": 5720,
  "curve_key": "0:6298432841526820776",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-7289852825841228"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 86.57366504206475,
  "faltings_height": 5.27212799596369,
  "conductor": "22957324224087744117498003103023867",
  "bad_primes": [
    "3",
    "29159411303364911"
  ],
  "discriminant": "-22957324224087744117498003103023867",
  "regulator": "44004088563.0655763234782343253905343097247684614627841639231",
  "points": [
    [
      "794553/4",
      "187249095/8"
    ],
    [
      "225630",
      "64782108"
    ],
    [
      "251430",
      "92762108"
    ],
    [
      "258330",
      "99747891"
    ],
    [
      "1168113/4",
      "1061755885/8"
    ],
    [
      "328092",
      "167413860"
    ],
    [
      "545100",
      "393291108"
    ],
    [
      "3415929/16",
      "3162241683/64"
    ],
    [
      "5065497/16",
      "10005881571/64"
    ],
    [
      "13653630/49",
      "41081477669/343"
    ],
    [
      "65685873/64",
      "530565268105/512"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Constructed by specializing a rank-four Mordell family arising from the rational parametrization of the Burkhardt quartic. The construction parameters are (u,v,w) = (-2,-9,10), with specialization t = -69/79.\r\n\r\nPARI/GP 2.17.4 returned matching rank bounds [11,11] and eleven rational points.\r\n",
  "created_at": "2026-10-24 16:40:39",
  "updated_at": "2026-10-24 16:40:39"
}