{
  "id": 5034,
  "curve_key": "104924952768:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-2185936516",
    "0"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 76.12953358804756,
  "faltings_height": 4.412368210645455,
  "conductor": "34974984256",
  "bad_primes": [
    "2",
    "97",
    "241"
  ],
  "discriminant": "668486450512929501982223110144",
  "regulator": "3620.307540504331425198620923419834951477043726",
  "points": [
    [
      "-28322",
      "6260352"
    ],
    [
      "-18818",
      "5871216"
    ],
    [
      "-1354896/625",
      "33976952808/15625"
    ],
    [
      "-13968/49",
      "270753384/343"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 46754. Found in an ellrank scan of squarefree n <= 6*10^5 with n = 1,2,3 mod 8.",
  "created_at": "2026-10-21 01:48:55",
  "updated_at": "2026-10-21 01:48:55"
}