{
  "id": 5687,
  "curve_key": "0:15993410006696904",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-18510891211455"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 74.62190631545079,
  "faltings_height": 4.276148102079194,
  "conductor": "49342045455693029099176026849",
  "bad_primes": [
    "3",
    "74043564845819"
  ],
  "discriminant": "-148026136367079087297528080547",
  "regulator": "14629793993.47736351366208574277951913953243886638252214524",
  "points": [
    [
      "26463",
      "144543"
    ],
    [
      "44273",
      "8262478"
    ],
    [
      "189915",
      "82651604"
    ],
    [
      "6721145/4",
      "17424649457/8"
    ],
    [
      "48546443",
      "338248688923"
    ],
    [
      "773021/25",
      "415565681/125"
    ],
    [
      "1170941/25",
      "1147278386/125"
    ],
    [
      "4170205/9",
      "8515216558/27"
    ],
    [
      "12811419/289",
      "40693507611/4913"
    ],
    [
      "1549158553/16641",
      "60270309279782/2146689"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Mordell curve obtained from a rationally parametrized Burkhardt-quartic family using (u,v,w) = (1,-2,5/2), specialized at t = -14/143.\r\n\r\nPARI/GP 2.17.4 returned matching rank bounds [10,10].",
  "created_at": "2026-10-24 09:06:33",
  "updated_at": "2026-10-24 09:06:33"
}