{
  "id": 5043,
  "curve_key": "298895267773080768:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-6226984745272516",
    "0"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 120.716608895803,
  "faltings_height": 8.127957819625074,
  "conductor": "99631755924360256",
  "bad_primes": [
    "2",
    "17",
    "71",
    "97",
    "337"
  ],
  "discriminant": "15453020451645655148412198264249274280114834182144",
  "regulator": "108198.804938005892175850186160612830224705207086",
  "points": [
    [
      "571326208",
      "13525199639328"
    ],
    [
      "932665088",
      "28381054384992"
    ],
    [
      "-510348311406/14161",
      "710183089846835520/1685159"
    ],
    [
      "-240831503/4",
      "3166430707671/8"
    ],
    [
      "726826432/9",
      "4167077641264/27"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 78911246. Found by a Mestre-Nagao sieve over n <= 3*10^9 (n = 5,6,7 mod 8), top candidates checked with ellrank.",
  "created_at": "2026-10-21 01:49:32",
  "updated_at": "2026-10-21 01:49:32"
}