{
  "id": 1015,
  "curve_key": "6769:-577801",
  "ainvs": [
    "1",
    "0",
    "0",
    "-141",
    "657"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    7
  ],
  "naive_height": 26.53396959543088,
  "faltings_height": 0.13447656348665396,
  "conductor": "294",
  "bad_primes": [
    "2",
    "3",
    "7"
  ],
  "discriminant": "-13716864",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 294b2 = LMFDB 294.f1: https://www.lmfdb.org/EllipticCurve/Q/294/f/1\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 294, minimal discriminant -13716864, torsion ℤ/7ℤ.",
  "created_at": "2026-09-23 15:15:26",
  "updated_at": "2026-09-23 15:15:26"
}