{
  "id": 3260,
  "curve_key": "49545:-11028069",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-1032",
    "13022"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    3
  ],
  "naive_height": 32.431909879479,
  "faltings_height": 0.26059785190679713,
  "conductor": "9882",
  "bad_primes": [
    "2",
    "3",
    "61"
  ],
  "discriminant": "88938",
  "regulator": "4.47191036913596181260610114389138798886908",
  "points": [
    [
      "31",
      "85"
    ],
    [
      "1",
      "109"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 9882e1 = LMFDB 9882.d2: https://www.lmfdb.org/EllipticCurve/Q/9882/d/2\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 9882, minimal discriminant 88938, torsion ℤ/3ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:47:31",
  "updated_at": "2026-09-26 20:47:31"
}