{
  "id": 2736,
  "curve_key": "51886611937:-11818660141393489",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1080971082",
    "13678914712356"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    9
  ],
  "naive_height": 74.01697990504947,
  "faltings_height": 3.8309642572691445,
  "conductor": "118698",
  "bad_primes": [
    "2",
    "3",
    "73",
    "271"
  ],
  "discriminant": "5481890282879036260614144",
  "regulator": "5.522076526356417137934621997165685294596",
  "points": [
    [
      "53556",
      "10432614"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 118698i1 = LMFDB 118698.f3: https://www.lmfdb.org/EllipticCurve/Q/118698/f/3\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 118698, minimal discriminant 5481890282879036260614144, torsion ℤ/9ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:20:00",
  "updated_at": "2026-09-26 20:20:00"
}