{
  "id": 5069,
  "curve_key": "17847333739200:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-371819452900",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 91.53862572793318,
  "faltings_height": 5.696459222302589,
  "conductor": "5949111246400",
  "bad_primes": [
    "2",
    "5",
    "7",
    "31",
    "281"
  ],
  "discriminant": "3289851512511513307511135864896000000",
  "regulator": "1753.000526694878701341731480291417686523611011",
  "points": [
    [
      "-125426",
      "211335432"
    ],
    [
      "3373405",
      "6093815175"
    ],
    [
      "-1244052754/5041",
      "99141938921256/357911"
    ],
    [
      "-8711/4",
      "227644563/8"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 609770. Found by a Mestre-Nagao sieve over n <= 10^7 (n = 1,2,3 mod 8), top candidates checked with ellrank.",
  "created_at": "2026-10-21 02:01:27",
  "updated_at": "2026-10-21 02:01:27"
}