{
  "id": 1022,
  "curve_key": "304:1792",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-6",
    "0"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2,
    2
  ],
  "naive_height": 17.151083104218664,
  "faltings_height": -0.5098414553630696,
  "conductor": "480",
  "bad_primes": [
    "2",
    "3",
    "5"
  ],
  "discriminant": "14400",
  "regulator": "1.035719522450406410025771591928353053720",
  "points": [
    [
      "6",
      "12"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 480a1 = LMFDB 480.b3: https://www.lmfdb.org/EllipticCurve/Q/480/b/3\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 480, minimal discriminant 14400, torsion ℤ/2ℤ × ℤ/2ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-23 15:16:31",
  "updated_at": "2026-09-23 15:16:31"
}