{
  "id": 2739,
  "curve_key": "250539975937:-125405328632600449",
  "ainvs": [
    "1",
    "0",
    "0",
    "-5219582832",
    "145144621322496"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    9
  ],
  "naive_height": 78.74065503057928,
  "faltings_height": 4.131206322902321,
  "conductor": "402522",
  "bad_primes": [
    "2",
    "3",
    "73",
    "919"
  ],
  "discriminant": "-18589878855962488278614016",
  "regulator": "13.16387443546142928597862592181406548995",
  "points": [
    [
      "34911656/841",
      "1238873320/24389"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 402522g1 = LMFDB 402522.g1: https://www.lmfdb.org/EllipticCurve/Q/402522/g/1\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 402522, minimal discriminant -18589878855962488278614016, torsion ℤ/9ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:20:10",
  "updated_at": "2026-09-26 20:20:10"
}