{
  "id": 1028,
  "curve_key": "928929:-824148081",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-19353",
    "958713"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    7
  ],
  "naive_height": 41.22536276583162,
  "faltings_height": 1.3977856380968836,
  "conductor": "574",
  "bad_primes": [
    "2",
    "7",
    "41"
  ],
  "discriminant": "70810888830976",
  "regulator": "1.067382481687845487584059600715680138697",
  "points": [
    [
      "61",
      "18"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 574i1 = LMFDB 574.g2: https://www.lmfdb.org/EllipticCurve/Q/574/g/2\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 574, minimal discriminant 70810888830976, torsion ℤ/7ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-23 15:17:34",
  "updated_at": "2026-09-23 15:17:34"
}