{
  "id": 3322,
  "curve_key": "679009:144185327",
  "ainvs": [
    "1",
    "0",
    "0",
    "-14146",
    "-168060"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6
  ],
  "naive_height": 40.28516898371832,
  "faltings_height": 1.4211747753035862,
  "conductor": "174230",
  "bad_primes": [
    "2",
    "5",
    "7",
    "19",
    "131"
  ],
  "discriminant": "169137661313600",
  "regulator": "4.68306307866784586001383654308472038031659",
  "points": [
    [
      "128",
      "286"
    ],
    [
      "-26",
      "440"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 174230d1 = LMFDB 174230.u3: https://www.lmfdb.org/EllipticCurve/Q/174230/u/3\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 174230, minimal discriminant 169137661313600, torsion ℤ/6ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:57:35",
  "updated_at": "2026-09-26 20:57:35"
}