{
  "id": 1018,
  "curve_key": "701968:-582486976",
  "ainvs": [
    "0",
    "1",
    "0",
    "-14624",
    "669300"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    8
  ],
  "naive_height": 40.38492929377014,
  "faltings_height": 1.2288219642576386,
  "conductor": "336",
  "bad_primes": [
    "2",
    "3",
    "7"
  ],
  "discriminant": "3825245233152",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 336d5 = LMFDB 336.d2: https://www.lmfdb.org/EllipticCurve/Q/336/d/2\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 336, minimal discriminant 3825245233152, torsion ℤ/8ℤ.",
  "created_at": "2026-09-23 15:16:29",
  "updated_at": "2026-09-23 15:16:29"
}