{
  "id": 3050,
  "curve_key": "-2226047:-4621687489",
  "ainvs": [
    "1",
    "0",
    "0",
    "46376",
    "5353040"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    8
  ],
  "naive_height": 44.50805146541827,
  "faltings_height": 1.8074472064008997,
  "conductor": "7854",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "17"
  ],
  "discriminant": "-18744614063916048",
  "regulator": "3.065314620962403031469437299135636909588",
  "points": [
    [
      "86",
      "3116"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 7854o4 = LMFDB 7854.p5: https://www.lmfdb.org/EllipticCurve/Q/7854/p/5\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 7854, minimal discriminant -18744614063916048, torsion ℤ/8ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:34:58",
  "updated_at": "2026-09-26 20:34:58"
}