{
  "id": 3314,
  "curve_key": "44505:-9387549",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-927",
    "11097"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6
  ],
  "naive_height": 32.110070464179095,
  "faltings_height": 0.3822199521196477,
  "conductor": "306",
  "bad_primes": [
    "2",
    "3",
    "17"
  ],
  "discriminant": "14326308",
  "regulator": "1.687887029480387508849047299795412531648",
  "points": [
    [
      "9",
      "54"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 306b3 = LMFDB 306.a2: https://www.lmfdb.org/EllipticCurve/Q/306/a/2\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 306, minimal discriminant 14326308, torsion ℤ/6ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:56:17",
  "updated_at": "2026-09-26 20:56:17"
}