{
  "id": 1071,
  "curve_key": "11099521:-162263573569",
  "ainvs": [
    "1",
    "0",
    "0",
    "-231240",
    "187785792"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    9
  ],
  "naive_height": 51.624975694784,
  "faltings_height": 2.3585318929193217,
  "conductor": "60990",
  "bad_primes": [
    "2",
    "3",
    "5",
    "19",
    "107"
  ],
  "discriminant": "-14445609579000000000",
  "regulator": "2.495055653243491789202840627612917558484",
  "points": [
    [
      "-696",
      "3768"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 60990bj1 = LMFDB 60990.bh2: https://www.lmfdb.org/EllipticCurve/Q/60990/bh/2\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 60990, minimal discriminant -14445609579000000000, torsion ℤ/9ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-23 15:24:01",
  "updated_at": "2026-09-23 15:24:01"
}