{
  "id": 1044,
  "curve_key": "228817:-110459161",
  "ainvs": [
    "1",
    "0",
    "0",
    "-4767",
    "127449"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    9
  ],
  "naive_height": 37.040312853797566,
  "faltings_height": 0.9476348513948447,
  "conductor": "1554",
  "bad_primes": [
    "2",
    "3",
    "7",
    "37"
  ],
  "discriminant": "-127896039936",
  "regulator": "1.255479514076165392258624855532740753172",
  "points": [
    [
      "48",
      "75"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 1554n1 = LMFDB 1554.l2: https://www.lmfdb.org/EllipticCurve/Q/1554/l/2\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 1554, minimal discriminant -127896039936, torsion ℤ/9ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-23 15:20:45",
  "updated_at": "2026-09-23 15:20:45"
}