{
  "id": 919,
  "curve_key": "145:-1081",
  "ainvs": [
    "1",
    "0",
    "0",
    "-3",
    "1"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    6
  ],
  "naive_height": 14.930201227261723,
  "faltings_height": -0.716392336548462,
  "conductor": "34",
  "bad_primes": [
    "2",
    "17"
  ],
  "discriminant": "1088",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 34a1 = LMFDB 34.a4: https://www.lmfdb.org/EllipticCurve/Q/34/a/4\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 34, minimal discriminant 1088, torsion ℤ/6ℤ.",
  "created_at": "2026-09-23 15:00:24",
  "updated_at": "2026-09-23 15:00:24"
}