{
  "id": 3317,
  "curve_key": "184905:-79509573",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-3852",
    "92988"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6
  ],
  "naive_height": 36.38279237596119,
  "faltings_height": 0.6548081902841576,
  "conductor": "342",
  "bad_primes": [
    "2",
    "3",
    "19"
  ],
  "discriminant": "60002532",
  "regulator": "1.064851355853503832181074157703996386015",
  "points": [
    [
      "42",
      "42"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 342c3 = LMFDB 342.c1: https://www.lmfdb.org/EllipticCurve/Q/342/c/1\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 342, minimal discriminant 60002532, torsion ℤ/6ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:56:47",
  "updated_at": "2026-09-26 20:56:47"
}