{
  "id": 2990,
  "curve_key": "3201:-181089",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-67",
    "226"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    4
  ],
  "naive_height": 24.213655619909588,
  "faltings_height": -0.2920184986514777,
  "conductor": "455",
  "bad_primes": [
    "5",
    "7",
    "13"
  ],
  "discriminant": "3185",
  "regulator": "2.473374205367291350372561411230132475652",
  "points": [
    [
      "14",
      "36"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 455b1 = LMFDB 455.a3: https://www.lmfdb.org/EllipticCurve/Q/455/a/3\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 455, minimal discriminant 3185, torsion ℤ/4ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:32:12",
  "updated_at": "2026-09-26 20:32:12"
}