{
  "id": 5014,
  "curve_key": "914112:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-19044",
    "0"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 41.1771251436669,
  "faltings_height": 1.4996675069470655,
  "conductor": "304704",
  "bad_primes": [
    "2",
    "3",
    "23"
  ],
  "discriminant": "442032795979776",
  "regulator": "9.62301306493471118433887270103159659143917",
  "points": [
    [
      "150",
      "720"
    ],
    [
      "162",
      "1080"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 138. Found in an exhaustive ellrank scan of squarefree n <= 20000; one of the smallest n of rank 2.",
  "created_at": "2026-10-21 01:47:17",
  "updated_at": "2026-10-21 01:47:17"
}