{
  "id": 5688,
  "curve_key": "0:313372892691432",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-362700107282"
  ],
  "rank_lower_bound": 9,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 66.75682989565148,
  "faltings_height": 3.6207250670959192,
  "conductor": "1159799814269129764275867",
  "bad_primes": [
    "3",
    "7",
    "29608172023"
  ],
  "discriminant": "-56830190899187358449517483",
  "regulator": "8922047144022.7683330619150771572893244156127833274182967",
  "points": [
    [
      "483636777122/229441",
      "-336340348094383917/109902239"
    ],
    [
      "12703848788/1138489",
      "-1230863547255554/1214767763"
    ],
    [
      "28943751861024449/214341220900",
      "4923798220664418533651957/99233555040073000"
    ],
    [
      "1437271378031966/7239457225",
      "54487652579623818033361/615969217989125"
    ],
    [
      "9417266421996724/1299839411025",
      "196499968307023409328493/1481953411706657625"
    ],
    [
      "124080970019870033/2576127721024",
      "43636686556264796095983961/4134767428330592768"
    ],
    [
      "56241270159838121/7337001516100",
      "5885797926053279560842169/19873662636644909000"
    ],
    [
      "5888632668785799836/32942262016225",
      "-14289199834279319623376889541/189073265821293955375"
    ],
    [
      "46930466403581040806/129396198810025",
      "-321499761923765702942223690454/1471913463532742831125"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Mordell curve constructed using the Bruin–Nasserden rational parametrization of the Burkhardt quartic, with parameters (u,v,w)=(-1/2,1,1/4), specialized at t=71/465.",
  "created_at": "2026-10-24 10:08:40",
  "updated_at": "2026-10-24 10:08:40"
}