{
  "id": 2875,
  "curve_key": "1008:17280",
  "ainvs": [
    "0",
    "0",
    "0",
    "-21",
    "-20"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2,
    2
  ],
  "naive_height": 20.74717034589394,
  "faltings_height": -0.22348781644908397,
  "conductor": "288",
  "bad_primes": [
    "2",
    "3"
  ],
  "discriminant": "419904",
  "regulator": "1.240339345699340752600006946273422038963",
  "points": [
    [
      "8",
      "18"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 288b1 = LMFDB 288.b3: https://www.lmfdb.org/EllipticCurve/Q/288/b/3\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 288, minimal discriminant 419904, torsion ℤ/2ℤ × ℤ/2ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:26:22",
  "updated_at": "2026-09-26 20:26:22"
}