{
  "id": 3029,
  "curve_key": "16704:-2157408",
  "ainvs": [
    "0",
    "0",
    "0",
    "-348",
    "2497"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6
  ],
  "naive_height": 29.170210472047096,
  "faltings_height": 0.1907461008940839,
  "conductor": "1260",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7"
  ],
  "discriminant": "3704400",
  "regulator": "1.033816853039532233941388221852962733779",
  "points": [
    [
      "6",
      "25"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 1260b1 = LMFDB 1260.d4: https://www.lmfdb.org/EllipticCurve/Q/1260/d/4\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 1260, minimal discriminant 3704400, torsion ℤ/6ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:33:59",
  "updated_at": "2026-09-26 20:33:59"
}