{
  "id": 3292,
  "curve_key": "7696:-3565376",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-160",
    "4180"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    4
  ],
  "naive_height": 30.173560152229406,
  "faltings_height": 0.571535357812157,
  "conductor": "14880",
  "bad_primes": [
    "2",
    "3",
    "5",
    "31"
  ],
  "discriminant": "-7092641280",
  "regulator": "10.1112478713959404127211552704934461416905",
  "points": [
    [
      "-3",
      "68"
    ],
    [
      "17",
      "78"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 14880l4 = LMFDB 14880.c4: https://www.lmfdb.org/EllipticCurve/Q/14880/c/4\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 14880, minimal discriminant -7092641280, torsion ℤ/4ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:52:44",
  "updated_at": "2026-09-26 20:52:44"
}