{
  "id": 5032,
  "curve_key": "2894916288:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-60310756",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 65.35866609447335,
  "faltings_height": 3.5147959195142695,
  "conductor": "964972096",
  "bad_primes": [
    "2",
    "11",
    "353"
  ],
  "discriminant": "14039908946045647395917824",
  "regulator": "329.89626446750193393911104584365069372853837",
  "points": [
    [
      "-6875",
      "299475"
    ],
    [
      "11638",
      "935088"
    ],
    [
      "288684",
      "155051820"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 7766. Found in an exhaustive ellrank scan of squarefree n <= 20000; one of the smallest n of rank 3.",
  "created_at": "2026-10-21 01:48:36",
  "updated_at": "2026-10-21 01:48:36"
}