{
  "id": 5749,
  "curve_key": "0:-1658464465990442112",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "1919519057859308"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 83.90484765535624,
  "faltings_height": 5.049726547071315,
  "conductor": "33160980721365768720631700149776",
  "bad_primes": [
    "2",
    "3",
    "2256613",
    "212654879"
  ],
  "discriminant": "-1591727074625556898590321607189248",
  "regulator": "28211078726.0476593018847130635172015147451676085797783401936",
  "points": [
    [
      "-80602",
      "37361390"
    ],
    [
      "-78914",
      "37790058"
    ],
    [
      "-8083",
      "43806289"
    ],
    [
      "35717",
      "44329261"
    ],
    [
      "592637",
      "458328119"
    ],
    [
      "18408598",
      "78982547550"
    ],
    [
      "-1961303/16",
      "563726229/64"
    ],
    [
      "-1959607/16",
      "580811845/64"
    ],
    [
      "223873/4",
      "366155073/8"
    ],
    [
      "459862/361",
      "300508839174/6859"
    ],
    [
      "5711849/4",
      "13655518069/8"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Constructed from the rational Bruin–Nasserden parametrization of the Burkhardt quartic with parameters (u,v,w)=(-9/9,-12/9,-10/9) and specialization t=191/422. The curve was selected using a three-stage Mestre–Nagao sieve involving 328 primes. \r\n\r\nPARI/GP 2.17.4 returned matching computational rank bounds [11,11].",
  "created_at": "2026-10-24 18:42:36",
  "updated_at": "2026-10-24 18:42:36"
}