{
  "id": 1080,
  "curve_key": "6536846886721:-16712553728620896481",
  "ainvs": [
    "1",
    "0",
    "0",
    "-136184310140",
    "19343222133507600"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    8,
    2
  ],
  "naive_height": 88.52542811317252,
  "faltings_height": 5.027768943254614,
  "conductor": "266910",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "31",
    "41"
  ],
  "discriminant": "7185070196198556975129600000000",
  "regulator": "5.628328977851839308924054052223440856863",
  "points": [
    [
      "201630",
      "8931810"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 266910ck2 = LMFDB 266910.ck5: https://www.lmfdb.org/EllipticCurve/Q/266910/ck/5\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 266910, minimal discriminant 7185070196198556975129600000000, torsion ℤ/2ℤ × ℤ/8ℤ. 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"
}