{
  "id": 5686,
  "curve_key": "0:-22957346940731136",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "26571003403624"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 75.3448288166472,
  "faltings_height": 4.336391643845561,
  "conductor": "19062491990635751201721001152",
  "bad_primes": [
    "2",
    "3",
    "83",
    "40016571391"
  ],
  "discriminant": "-304999871850172019227536018432",
  "regulator": "463625510.2764452567310661745158539342724818976165624606798",
  "points": [
    [
      "-29802",
      "319504"
    ],
    [
      "-23082",
      "3778016"
    ],
    [
      "-17382",
      "4617284"
    ],
    [
      "-762",
      "5154664"
    ],
    [
      "14625",
      "5449693"
    ],
    [
      "79770",
      "23112068"
    ],
    [
      "98310",
      "31252568"
    ],
    [
      "354438",
      "211076536"
    ],
    [
      "-37983/4",
      "40567793/8"
    ],
    [
      "221937/4",
      "112393417/8"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Mordell curve obtained from the rational Burkhardt-quartic parametrization (u,v,w) = (3/4,5/4,-3/4), specialized at t = -125/52.\r\n\r\nPARI/GP 2.17.4 returned matching rank bounds [10,10].",
  "created_at": "2026-10-24 09:05:36",
  "updated_at": "2026-10-24 09:05:36"
}