{
  "id": 5017,
  "curve_key": "1138368:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-23716",
    "0"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 41.83531864720545,
  "faltings_height": 1.5545169655752777,
  "conductor": "379456",
  "bad_primes": [
    "2",
    "7",
    "11"
  ],
  "discriminant": "853698068844544",
  "regulator": "6.91035241780150297009266080168233049674271",
  "points": [
    [
      "-98",
      "1176"
    ],
    [
      "350",
      "5880"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 154. Found in an exhaustive ellrank scan of squarefree n <= 20000; one of the smallest n of rank 2.",
  "created_at": "2026-10-21 01:47:25",
  "updated_at": "2026-10-21 01:47:25"
}