{
  "id": 5598,
  "curve_key": "0:18099014344702848",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-20947933269332"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 74.86926775121182,
  "faltings_height": 4.296761555059281,
  "conductor": "3949343174307478086465536016",
  "bad_primes": [
    "2",
    "3",
    "5236983317333"
  ],
  "discriminant": "-189568472366758948150345728768",
  "regulator": "18342546109615.65683387439567548264854263931253920740870147",
  "points": [
    [
      "5239342070822/189805729",
      "762919148738035170/2614953528433"
    ],
    [
      "24131170879901/506475025",
      "106444167631847948601/11398220437625"
    ],
    [
      "6294756484694/102111025",
      "15070513912641274878/1031831907625"
    ],
    [
      "2261053401544117/1084845969",
      "107514175068384261042635/35731571680953"
    ],
    [
      "7280290607582/58415449",
      "-19537116129339905250/446469276707"
    ],
    [
      "8308306162694/158130625",
      "-22151186657298121122/1988492609375"
    ],
    [
      "72165787191557/2601714049",
      "-83203000012591313715/132705628497343"
    ],
    [
      "334715133567422/6228839929",
      "5695355690528390471970/491598733716467"
    ],
    [
      "1787345175452273/295633636",
      "75563597838469074401655/5083124737384"
    ],
    [
      "3192668884060937/104379394084",
      "-93385783595099599022565/33722685881870552"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "The rational 3-isogenous partner of our accepted rank-10 Mordell curve obtained from the Burkhardt quartic with parameters (u,v,w) = (-1,-4,5), specialized at t = 247/229.",
  "created_at": "2026-10-23 21:42:20",
  "updated_at": "2026-10-23 21:42:20"
}