{
  "id": 5040,
  "curve_key": "14021382944448:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-292112144676",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 90.81481390050335,
  "faltings_height": 5.63614157001677,
  "conductor": "4673794314816",
  "bad_primes": [
    "2",
    "3",
    "11",
    "19",
    "431"
  ],
  "discriminant": "1595250222676800677767931025059057664",
  "regulator": "2071.027582917259560590755079172939948513829782",
  "points": [
    [
      "572242",
      "142225336"
    ],
    [
      "786258",
      "506350152"
    ],
    [
      "-302845598/3721",
      "34599060691624/226981"
    ],
    [
      "-28446/1225",
      "111666138408/42875"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 540474. Found in an ellrank scan of squarefree n <= 6*10^5 with n = 1,2,3 mod 8.",
  "created_at": "2026-10-21 01:49:19",
  "updated_at": "2026-10-21 01:49:19"
}