{
  "id": 3277,
  "curve_key": "1969:-85897",
  "ainvs": [
    "1",
    "0",
    "0",
    "-41",
    "96"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    4
  ],
  "naive_height": 22.755843235917375,
  "faltings_height": -0.2152994664453583,
  "conductor": "1095",
  "bad_primes": [
    "3",
    "5",
    "73"
  ],
  "discriminant": "147825",
  "regulator": "1.150111900662175783653925541434844999869",
  "points": [
    [
      "3",
      "0"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 1095a1 = LMFDB 1095.a3: https://www.lmfdb.org/EllipticCurve/Q/1095/a/3\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 1095, minimal discriminant 147825, torsion ℤ/4ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:50:18",
  "updated_at": "2026-09-26 20:50:18"
}