{
  "id": 5604,
  "curve_key": "0:-2995478964562126830552",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "3466989542317276424"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 98.902782186092,
  "faltings_height": 6.299554424632629,
  "conductor": "2374324244254292909372143153853800689",
  "bad_primes": [
    "3",
    "239",
    "1619",
    "84947",
    "15626293"
  ],
  "discriminant": "-5192647122184138592796877077478262106843",
  "regulator": "30625914150572.898993408543610718116339548971899998178024554868",
  "points": [
    [
      "-664224",
      "1781554999"
    ],
    [
      "1434268",
      "2533270152"
    ],
    [
      "4931452",
      "11108377463"
    ],
    [
      "-547308431/484",
      "15137457058085/10648"
    ],
    [
      "6595446/25",
      "233363692256/125"
    ],
    [
      "753094756/441",
      "26915965970795/9261"
    ],
    [
      "20730942993/8464",
      "3318404017545113/778688"
    ],
    [
      "6264509322/5929",
      "984095065625531/456533"
    ],
    [
      "91866158094/169",
      "27844109697181675/2197"
    ],
    [
      "96101664034/81225",
      "52397013587882923/23149125"
    ],
    [
      "744241614582/885481",
      "1679080326337466411/833237621"
    ],
    [
      "174007428769462/34257609",
      "2325529234320537803104/200509785477"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Rank-12 Mordell curve constructed using the Burkhardt quartic family, with parameters (u,v,w)=(-2,-9,-12) and specialization t=407/102.",
  "created_at": "2026-10-23 22:23:58",
  "updated_at": "2026-10-23 22:23:58"
}