{
  "id": 5013,
  "curve_key": "900912:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-18769",
    "0"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 41.13348858769242,
  "faltings_height": 1.4960311272825255,
  "conductor": "600608",
  "bad_primes": [
    "2",
    "137"
  ],
  "discriminant": "423158800038976",
  "regulator": "84.1583165958681231998266224966512453577973",
  "points": [
    [
      "-38025/289",
      "2151240/4913"
    ],
    [
      "-3136/25",
      "77112/125"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 137. Found in an exhaustive ellrank scan of squarefree n <= 20000; one of the smallest n of rank 2.",
  "created_at": "2026-10-21 01:47:12",
  "updated_at": "2026-10-21 01:47:12"
}