{
  "id": 1075,
  "curve_key": "513433533001:-367896860204674501",
  "ainvs": [
    "1",
    "0",
    "1",
    "-10696531938",
    "425805659785156"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    12
  ],
  "naive_height": 80.8931592563876,
  "faltings_height": 4.2980276590959745,
  "conductor": "99330",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "43"
  ],
  "discriminant": "94865985929121315504750000",
  "regulator": "5.970404849418564998048564126666705160743",
  "points": [
    [
      "193340",
      "74635287"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 99330bg5 = LMFDB 99330.bg3: https://www.lmfdb.org/EllipticCurve/Q/99330/bg/3\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 99330, minimal discriminant 94865985929121315504750000, torsion ℤ/12ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-23 15:25:05",
  "updated_at": "2026-09-23 15:25:05"
}