{
  "id": 3268,
  "curve_key": "2877121:2150361919",
  "ainvs": [
    "1",
    "1",
    "1",
    "-59940",
    "-2513820"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    4,
    2
  ],
  "naive_height": 44.61690209804483,
  "faltings_height": 1.7733118057273618,
  "conductor": "91245",
  "bad_primes": [
    "3",
    "5",
    "7",
    "11",
    "79"
  ],
  "discriminant": "11106625274600625",
  "regulator": "5.23490486873031666510271652223381682343017",
  "points": [
    [
      "-45",
      "330"
    ],
    [
      "-52",
      "708"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 91245c2 = LMFDB 91245.e5: https://www.lmfdb.org/EllipticCurve/Q/91245/e/5\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 91245, minimal discriminant 11106625274600625, torsion ℤ/2ℤ × ℤ/4ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:48:51",
  "updated_at": "2026-09-26 20:48:51"
}