{
  "id": 5068,
  "curve_key": "17346534322368:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-361386131716",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 91.45324155448918,
  "faltings_height": 5.689343874515589,
  "conductor": "5782178107456",
  "bad_primes": [
    "2",
    "17",
    "17681"
  ],
  "discriminant": "3020608367645775043859122836279660544",
  "regulator": "23787.40949199075170268742140365522244295622642",
  "points": [
    [
      "-304704",
      "286051920"
    ],
    [
      "638146",
      "171041760"
    ],
    [
      "-167281375266/332929",
      "44940946523076240/192100033"
    ],
    [
      "-17965328/49",
      "98944113864/343"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 601154. 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 02:01:23",
  "updated_at": "2026-10-21 02:01:23"
}