{
  "id": 3054,
  "curve_key": "-4013567:25910426879",
  "ainvs": [
    "1",
    "0",
    "0",
    "83616",
    "-29981952"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    8
  ],
  "naive_height": 47.95582261367641,
  "faltings_height": 2.0644959938222645,
  "conductor": "6006",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13"
  ],
  "discriminant": "-425928037217050368",
  "regulator": "2.554040933166269306961422812577984875390",
  "points": [
    [
      "246",
      "2220"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 6006bd1 = LMFDB 6006.bb6: https://www.lmfdb.org/EllipticCurve/Q/6006/bb/6\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 6006, minimal discriminant -425928037217050368, torsion ℤ/8ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:35:08",
  "updated_at": "2026-09-26 20:35:08"
}