{
  "id": 5024,
  "curve_key": "588672192:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-12264004",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 60.58014010979846,
  "faltings_height": 3.116585420791362,
  "conductor": "196224064",
  "bad_primes": [
    "2",
    "17",
    "103"
  ],
  "discriminant": "118052944679228203012096",
  "regulator": "282.43333606339253962281593416439892501326912",
  "points": [
    [
      "3698",
      "72240"
    ],
    [
      "5202",
      "277440"
    ],
    [
      "449650",
      "301507920"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 3502. Found in an exhaustive ellrank scan of squarefree n <= 20000; one of the smallest n of rank 3.",
  "created_at": "2026-10-21 01:48:09",
  "updated_at": "2026-10-21 01:48:09"
}