{
  "id": 5007,
  "curve_key": "23232:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-484",
    "0"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 30.159857752873567,
  "faltings_height": 0.581561891047621,
  "conductor": "7744",
  "bad_primes": [
    "2",
    "11"
  ],
  "discriminant": "7256313856",
  "regulator": "4.253144970389411834006507941477202214974",
  "points": [
    [
      "2178",
      "101640"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 22. Found in an exhaustive ellrank scan of squarefree n <= 20000; one of the smallest n of rank 1.",
  "created_at": "2026-10-21 01:46:35",
  "updated_at": "2026-10-21 01:46:35"
}