{
  "id": 1011,
  "curve_key": "723361:-615053809",
  "ainvs": [
    "1",
    "0",
    "0",
    "-15070",
    "710612"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    8
  ],
  "naive_height": 40.47499105489497,
  "faltings_height": 1.1012822363356178,
  "conductor": "210",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7"
  ],
  "discriminant": "120530818800",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 210e4 = LMFDB 210.e4: https://www.lmfdb.org/EllipticCurve/Q/210/e/4\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 210, minimal discriminant 120530818800, torsion ℤ/8ℤ.",
  "created_at": "2026-09-23 15:14:23",
  "updated_at": "2026-09-23 15:14:23"
}