{
  "id": 5446,
  "curve_key": "0:-2056300903189063106680193948557865351808",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "2379977897209563780879854107127158972"
  ],
  "rank_lower_bound": 17,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 181.04345463468644,
  "faltings_height": 13.1446104620155,
  "conductor": "166700957528570161370331561792365459958429300339280355086852540995984",
  "bad_primes": [
    "2",
    "3",
    "7",
    "79",
    "3323",
    "7021367",
    "2626924397",
    "31744104551"
  ],
  "discriminant": "-2446975349801016598967986779847751469332510683557839333220253858053161810688",
  "regulator": "19807403485655851082.2396796436438942939620264697470154372017065539012964",
  "points": [
    [
      "294129787098",
      "1550942858683573642"
    ],
    [
      "769177761458",
      "1683760654812637122"
    ],
    [
      "-1188339507886",
      "837772837414915746"
    ],
    [
      "1068003335714",
      "1896885801420726354"
    ],
    [
      "1334438564837",
      "2180882326742155365"
    ],
    [
      "1574918905413",
      "2507261216447653813"
    ],
    [
      "2407394001173",
      "4041304278910758867"
    ],
    [
      "2729617098509",
      "4766322997694511351"
    ],
    [
      "3316268230898",
      "6233063884956835458"
    ],
    [
      "68669583428138",
      "569047101088034101638"
    ],
    [
      "-4913070098223/4",
      "5807377450270000871/8"
    ],
    [
      "444422566948962",
      "9369019894058773390610"
    ],
    [
      "-11349374372727/16",
      "91030192042262842277/64"
    ],
    [
      "5318002887386/25",
      "193229278077384358866/125"
    ],
    [
      "5474617520682/49",
      "529307190375226164586/343"
    ],
    [
      "-161469292321799/144",
      "1701967939064888895757/1728"
    ],
    [
      "-15792559964722303/29584",
      "7595022470777411140098369/5088448"
    ]
  ],
  "submitter": "wgxli",
  "history": [],
  "commentary": "Mordell curve y^2 = x^3 + 2379977897209563780879854107127158972, submitted by wgxli:\r\nhttps://elliptic-rank.icarm.cloud/curve/5446\r\n\r\nThe 17 submitted points are the exact witness points recorded on the source curve. ICARM records rank lower bound ≥17, trivial rational torsion, conductor 166700957528570161370331561792365459958429300339280355086852540995984, and minimal discriminant -2446975349801016598967986779847751469332510683557839333220253858053161810688.\r\n\r\nThe source record contains no method commentary or transformation, so none is added here.",
  "created_at": "2026-10-22 03:58:26",
  "updated_at": "2026-10-22 03:58:26"
}