{
  "id": 1081,
  "curve_key": "1539625681:-55017985586329",
  "ainvs": [
    "1",
    "0",
    "0",
    "-32075535",
    "63675551097"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    12
  ],
  "naive_height": 63.46441547862397,
  "faltings_height": 3.2568483682552207,
  "conductor": "274170",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "19",
    "37"
  ],
  "discriminant": "360314065091912256000000",
  "regulator": "2.329118790521406941536427975914679315831",
  "points": [
    [
      "4494",
      "99213"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 274170ck1 = LMFDB 274170.ck7: https://www.lmfdb.org/EllipticCurve/Q/274170/ck/7\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 274170, minimal discriminant 360314065091912256000000, torsion ℤ/12ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-23 15:26:09",
  "updated_at": "2026-09-23 15:26:09"
}