{
  "id": 1050,
  "curve_key": "1234801:-1364775049",
  "ainvs": [
    "1",
    "0",
    "0",
    "-25725",
    "1577457"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    12
  ],
  "naive_height": 42.07926114437269,
  "faltings_height": 1.3453284258328186,
  "conductor": "2730",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13"
  ],
  "discriminant": "11650189824000",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 2730bd1 = LMFDB 2730.bd7: https://www.lmfdb.org/EllipticCurve/Q/2730/bd/7\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 2730, minimal discriminant 11650189824000, torsion ℤ/12ℤ.",
  "created_at": "2026-09-23 15:20:48",
  "updated_at": "2026-09-23 15:20:48"
}