{
  "id": 5028,
  "curve_key": "1150129200:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-23961025",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 62.58942036251134,
  "faltings_height": 3.2840254418507686,
  "conductor": "766752800",
  "bad_primes": [
    "2",
    "5",
    "11",
    "89"
  ],
  "discriminant": "880432672796160121000000",
  "regulator": "171.32411051695053407095125618871559280312194",
  "points": [
    [
      "-4356",
      "147378"
    ],
    [
      "-55",
      "36300"
    ],
    [
      "-143055/49",
      "72817800/343"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 4895. Found in an exhaustive ellrank scan of squarefree n <= 20000; one of the smallest n of rank 3.",
  "created_at": "2026-10-21 01:48:21",
  "updated_at": "2026-10-21 01:48:21"
}