{
  "id": 5038,
  "curve_key": "6826608138432:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-142221002884",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 88.65554716176935,
  "faltings_height": 5.45620267512227,
  "conductor": "2275536046144",
  "bad_primes": [
    "2",
    "193",
    "977"
  ],
  "discriminant": "184107374339983951941296212194758656",
  "regulator": "25766.68841547452725659192041731683443778576890",
  "points": [
    [
      "-270400",
      "136696560"
    ],
    [
      "-72114064/625",
      "1905591195816/15625"
    ],
    [
      "467909586/1225",
      "1606980862416/42875"
    ],
    [
      "17020840033/20736",
      "1972365273533935/2985984"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 377122. Found in an ellrank scan of squarefree n <= 6*10^5 with n = 1,2,3 mod 8.",
  "created_at": "2026-10-21 01:49:11",
  "updated_at": "2026-10-21 01:49:11"
}