{
  "id": 5026,
  "curve_key": "1046378928:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-21799561",
    "0"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 62.3058042025493,
  "faltings_height": 3.2603907618539316,
  "conductor": "697585952",
  "bad_primes": [
    "2",
    "7",
    "23",
    "29"
  ],
  "discriminant": "663014791777527602910784",
  "regulator": "131.74903547417805034340133676023535187610993",
  "points": [
    [
      "10469",
      "958740"
    ],
    [
      "14812",
      "1710786"
    ],
    [
      "21025/4",
      "1400265/8"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 4669. Found in an exhaustive ellrank scan of squarefree n <= 20000; one of the smallest n of rank 3.",
  "created_at": "2026-10-21 01:48:16",
  "updated_at": "2026-10-21 01:48:16"
}