{
  "id": 5785,
  "curve_key": "0:57100925286144",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-66089033896"
  ],
  "rank_lower_bound": 9,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 63.35168287424047,
  "faltings_height": 3.3369628153116677,
  "conductor": "117929530835279197348032",
  "bad_primes": [
    "2",
    "3",
    "41",
    "907",
    "222151"
  ],
  "discriminant": "-1886872493364467157568512",
  "regulator": "150689180128.23150331196075325446876280579218053092502857",
  "points": [
    [
      "17663211758/3500641",
      "1635727420177364/6549699311"
    ],
    [
      "18559878074/3003289",
      "2145466093805080/5204699837"
    ],
    [
      "19590089018/2374681",
      "2575483558902664/3659383421"
    ],
    [
      "86359674521/3031081",
      "25342246143844625/5277112021"
    ],
    [
      "1754593718830/54508689",
      "2321849942564679676/402437650887"
    ],
    [
      "1783616249518/4835601",
      "2382055327238432444/10633486599"
    ],
    [
      "1785636505294/6517809",
      "-2386101347957810060/16639966377"
    ],
    [
      "88214108921/434281",
      "-26200245755987935/286191179"
    ],
    [
      "1829207753710/71520849",
      "-2469079300884945436/604851819993"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "The rationally 3-isogenous partner of the specialization t=64/163 of the rank-four sextic Mordell family obtained through the Burkhardt parametrization.",
  "created_at": "2026-10-25 08:04:50",
  "updated_at": "2026-10-25 08:04:50"
}