{
  "id": 5035,
  "curve_key": "159889018800:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-3331021225",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 77.39323733701775,
  "faltings_height": 4.51767685639297,
  "conductor": "106592679200",
  "bad_primes": [
    "2",
    "5",
    "7",
    "17",
    "97"
  ],
  "discriminant": "2365441293142306387680049000000",
  "regulator": "699.3332796431145743278860588437772573972373787",
  "points": [
    [
      "-56644",
      "2633946"
    ],
    [
      "-37485",
      "8496600"
    ],
    [
      "-19600",
      "7599900"
    ],
    [
      "91035",
      "21241500"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 57715. Found in an ellrank scan of squarefree n <= 6*10^5 with n = 1,2,3 mod 8.",
  "created_at": "2026-10-21 01:48:59",
  "updated_at": "2026-10-21 01:48:59"
}