{
  "id": 5956,
  "curve_key": "0:1147843316234951208",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-1328522356753416"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 83.16883295671899,
  "faltings_height": 4.988391988851545,
  "conductor": "762467753834056830690424494294363",
  "bad_primes": [
    "3",
    "20773",
    "255817138931"
  ],
  "discriminant": "-762467753834056830690424494294363",
  "regulator": "22260056528.1118217825852394139906308031669550257528972788840",
  "points": [
    [
      "442689/4",
      "41592115/8"
    ],
    [
      "138816",
      "36693944"
    ],
    [
      "642177/4",
      "424031571/8"
    ],
    [
      "306522",
      "165743711"
    ],
    [
      "650526",
      "523415439"
    ],
    [
      "1107888",
      "1165551687"
    ],
    [
      "1442412",
      "1731959928"
    ],
    [
      "1689846",
      "2196397295"
    ],
    [
      "7878657/64",
      "11865477889/512"
    ],
    [
      "4677816/25",
      "9033362136/125"
    ],
    [
      "5155746/25",
      "10783803456/125"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Burkhardt quartic rational parametrization at (u,v,w)=(-1,-4,5), with homogeneous Burkhardt coordinates (-5,-4,24,-30,45); specialization t=506/755 of the corresponding generic rank-4 Mordell sextic. PARI/GP 2.17.4 ellrank bounds: [11,11].",
  "created_at": "2026-10-26 17:02:09",
  "updated_at": "2026-10-26 17:02:09"
}