{
  "id": 3315,
  "curve_key": "48825:-7455213",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-1017",
    "8883"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6
  ],
  "naive_height": 32.38799326723464,
  "faltings_height": 0.7287935423996204,
  "conductor": "306",
  "bad_primes": [
    "2",
    "3",
    "17"
  ],
  "discriminant": "35192575602",
  "regulator": "3.375774058960775017698094599590825063296",
  "points": [
    [
      "7",
      "42"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 306b4 = LMFDB 306.a1: https://www.lmfdb.org/EllipticCurve/Q/306/a/1\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 306, minimal discriminant 35192575602, torsion ℤ/6ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:56:27",
  "updated_at": "2026-09-26 20:56:27"
}