{
  "id": 5031,
  "curve_key": "2509099200:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-52272900",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 64.92956892364053,
  "faltings_height": 3.479037821944868,
  "conductor": "836366400",
  "bad_primes": [
    "2",
    "3",
    "5",
    "241"
  ],
  "discriminant": "9141337800449695296000000",
  "regulator": "112.25268135038902071197769300274727011506026",
  "points": [
    [
      "-3600",
      "376200"
    ],
    [
      "-30",
      "39600"
    ],
    [
      "7350",
      "113400"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 7230. Found in an exhaustive ellrank scan of squarefree n <= 20000; one of the smallest n of rank 3.",
  "created_at": "2026-10-21 01:48:32",
  "updated_at": "2026-10-21 01:48:32"
}