{
  "id": 3209,
  "curve_key": "304:-5248",
  "ainvs": [
    "0",
    "1",
    "0",
    "-6",
    "4"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2
  ],
  "naive_height": 17.151083104218664,
  "faltings_height": -0.7060449447335675,
  "conductor": "160",
  "bad_primes": [
    "2",
    "5"
  ],
  "discriminant": "320",
  "regulator": "0.3586929039552797259307493823641187479545",
  "points": [
    [
      "0",
      "2"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 160a1 = LMFDB 160.a1: https://www.lmfdb.org/EllipticCurve/Q/160/a/1\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 160, minimal discriminant 320, torsion ℤ/2ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:42:47",
  "updated_at": "2026-09-26 20:42:47"
}