{
  "id": 3323,
  "curve_key": "-720935:-63905437",
  "ainvs": [
    "1",
    "0",
    "1",
    "15019",
    "75216"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6
  ],
  "naive_height": 40.46491277891165,
  "faltings_height": 1.4411636882455658,
  "conductor": "108262",
  "bad_primes": [
    "2",
    "7",
    "11",
    "19",
    "37"
  ],
  "discriminant": "-219205964132848",
  "regulator": "9.51443032395511997659471917560482427411551",
  "points": [
    [
      "23",
      "646"
    ],
    [
      "170",
      "2662"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 108262a1 = LMFDB 108262.b4: https://www.lmfdb.org/EllipticCurve/Q/108262/b/4\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 108262, minimal discriminant -219205964132848, torsion ℤ/6ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:57:45",
  "updated_at": "2026-09-26 20:57:45"
}