{
  "id": 3324,
  "curve_key": "917056:-881252704",
  "ainvs": [
    "0",
    "1",
    "0",
    "-19105",
    "1013600"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6
  ],
  "naive_height": 41.19370996090968,
  "faltings_height": 1.2536820001773332,
  "conductor": "60180",
  "bad_primes": [
    "2",
    "3",
    "5",
    "17",
    "59"
  ],
  "discriminant": "-3107544750000",
  "regulator": "2.24432871149074829289161971855829266039145",
  "points": [
    [
      "80",
      "60"
    ],
    [
      "83",
      "81"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 60180k1 = LMFDB 60180.k3: https://www.lmfdb.org/EllipticCurve/Q/60180/k/3\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 60180, minimal discriminant -3107544750000, torsion ℤ/6ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:57:54",
  "updated_at": "2026-09-26 20:57:54"
}