{
  "id": 1066,
  "curve_key": "1697191201:-69921246826801",
  "ainvs": [
    "1",
    "0",
    "0",
    "-35358150",
    "80924422500"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    9
  ],
  "naive_height": 63.756781358615854,
  "faltings_height": 2.9723210725682763,
  "conductor": "15810",
  "bad_primes": [
    "2",
    "3",
    "5",
    "17",
    "31"
  ],
  "discriminant": "-169462737117000000000",
  "regulator": "1.001590490174866948632670620868054302470",
  "points": [
    [
      "3420",
      "330"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 15810u1 = LMFDB 15810.u1: https://www.lmfdb.org/EllipticCurve/Q/15810/u/1\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 15810, minimal discriminant -169462737117000000000, torsion ℤ/9ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-23 15:23:59",
  "updated_at": "2026-09-23 15:23:59"
}