{
  "id": 5852,
  "curve_key": "0:50591323033704",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-58554772030"
  ],
  "rank_lower_bound": 9,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 63.10960239193995,
  "faltings_height": 3.3167894417866246,
  "conductor": "1481181693460988947870347",
  "bad_primes": [
    "3",
    "2267",
    "34438919"
  ],
  "discriminant": "-1481181693460988947870347",
  "regulator": "294036960859.83184991074338476118946526674412761651414294",
  "points": [
    [
      "59242863622/14722569",
      "4589860587644429/56490497253"
    ],
    [
      "69260709460/8874441",
      "17068147742177531/26436959739"
    ],
    [
      "75497308762/3908529",
      "20659778463753953/7727161833"
    ],
    [
      "6149144739142/281333529",
      "15205506403885146782/4718807281917"
    ],
    [
      "78064296682/88209",
      "21811154713051094/26198073"
    ],
    [
      "6650002246600/426381201",
      "-17015907615533327879/8804345419449"
    ],
    [
      "5405823500953/458559396",
      "-12342123152245701863/9819590905944"
    ],
    [
      "154817590936/37564641",
      "-24635422136582882/230233684689"
    ],
    [
      "275076715290385/41925019536",
      "4061925245360703283289/8584399300113216"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Burkhardt parametrization (-9,2,-6), generic rank-four sextic; specialization t=298/245. The 3-isogenous partner has global minimal equation y^2+y=x^3-58554772030. PARI/GP 2.17.4 returned rank bounds [9,9].",
  "created_at": "2026-10-25 12:06:23",
  "updated_at": "2026-10-25 12:06:23"
}