{
  "id": 3130,
  "curve_key": "9424:-112832",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-196",
    "196"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    2,
    2
  ],
  "naive_height": 27.453044717674103,
  "faltings_height": 0.3550635999180561,
  "conductor": "10920",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13"
  ],
  "discriminant": "476985600",
  "regulator": "0.877193932573383289231614190388608448021710",
  "points": [
    [
      "0",
      "14"
    ],
    [
      "-4",
      "30"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 10920k2 = LMFDB 10920.a3: https://www.lmfdb.org/EllipticCurve/Q/10920/a/3\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 10920, minimal discriminant 476985600, torsion ℤ/2ℤ × ℤ/2ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:38:41",
  "updated_at": "2026-09-26 20:38:41"
}