{
  "id": 2889,
  "curve_key": "14896:-1811456",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-310",
    "2200"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    2,
    2
  ],
  "naive_height": 28.826543998550545,
  "faltings_height": 0.22496176753218436,
  "conductor": "14880",
  "bad_primes": [
    "2",
    "3",
    "5",
    "31"
  ],
  "discriminant": "13838400",
  "regulator": "2.52781196784898510318028881762336153542262",
  "points": [
    [
      "12",
      "8"
    ],
    [
      "7",
      "18"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 14880l1 = LMFDB 14880.c3: https://www.lmfdb.org/EllipticCurve/Q/14880/c/3\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 14880, minimal discriminant 13838400, torsion ℤ/2ℤ × ℤ/2ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:27:01",
  "updated_at": "2026-09-26 20:27:01"
}