{
  "id": 1041,
  "curve_key": "234721:-113602769",
  "ainvs": [
    "1",
    "1",
    "1",
    "-4890",
    "129447"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    8
  ],
  "naive_height": 37.09845856128929,
  "faltings_height": 0.8653417043786734,
  "conductor": "1230",
  "bad_primes": [
    "2",
    "3",
    "5",
    "41"
  ],
  "discriminant": "15114240000",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 1230f1 = LMFDB 1230.f7: https://www.lmfdb.org/EllipticCurve/Q/1230/f/7\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 1230, minimal discriminant 15114240000, torsion ℤ/8ℤ.",
  "created_at": "2026-09-23 15:19:42",
  "updated_at": "2026-09-23 15:19:42"
}