{
  "id": 3242,
  "curve_key": "952624:-929784448",
  "ainvs": [
    "0",
    "1",
    "0",
    "-19846",
    "1069524"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2
  ],
  "naive_height": 41.300926683710586,
  "faltings_height": 0.8650957473162397,
  "conductor": "476320",
  "bad_primes": [
    "2",
    "5",
    "13",
    "229"
  ],
  "discriminant": "952640",
  "regulator": "17.636018388778680298871058710064403078758388",
  "points": [
    [
      "77",
      "62"
    ],
    [
      "72",
      "138"
    ],
    [
      "106",
      "410"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 476320c1 = LMFDB 476320.c1: https://www.lmfdb.org/EllipticCurve/Q/476320/c/1\n\nMordell–Weil rank exactly 3 (Cremona's tables). Conductor 476320, minimal discriminant 952640, torsion ℤ/2ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:44:35",
  "updated_at": "2026-09-26 20:44:35"
}