{
  "id": 5685,
  "curve_key": "0:-2449275785981208",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "2834809937478"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 70.86913755642212,
  "faltings_height": 3.963417372160139,
  "conductor": "3471615668862189939154704363",
  "bad_primes": [
    "3",
    "11339239749913"
  ],
  "discriminant": "-3471615668862189939154704363",
  "regulator": "3437963860.394181498218329940061243305690811980794341900427",
  "points": [
    [
      "-13938",
      "356517"
    ],
    [
      "-9696",
      "1386818"
    ],
    [
      "-1662",
      "1682325"
    ],
    [
      "2034",
      "1686186"
    ],
    [
      "8457/4",
      "13491945/8"
    ],
    [
      "21648",
      "3602754"
    ],
    [
      "-114158/9",
      "24059575/27"
    ],
    [
      "-62246/225",
      "5682428758/3375"
    ],
    [
      "603636/25",
      "514047241/125"
    ],
    [
      "37636558/9",
      "230895174439/27"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Mordell curve obtained from the rational Burkhardt-quartic parametrization (u,v,w) = (2/5,3/5,6/5), specialized at t = -64/23.\r\n\r\nPARI/GP 2.17.4 returned matching rank bounds [10,10].",
  "created_at": "2026-10-24 09:03:57",
  "updated_at": "2026-10-24 09:03:57"
}