{
  "id": 3267,
  "curve_key": "158416:-63030464",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-3300",
    "74052"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    4,
    2
  ],
  "naive_height": 35.91893929008689,
  "faltings_height": 0.7288145404961516,
  "conductor": "1320",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11"
  ],
  "discriminant": "1568160000",
  "regulator": "1.638502367159678767276391974695921979409",
  "points": [
    [
      "32",
      "14"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 1320h2 = LMFDB 1320.f4: https://www.lmfdb.org/EllipticCurve/Q/1320/f/4\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 1320, minimal discriminant 1568160000, torsion ℤ/2ℤ × ℤ/4ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:48:41",
  "updated_at": "2026-09-26 20:48:41"
}