{
  "id": 1043,
  "curve_key": "-621503:-363482209",
  "ainvs": [
    "1",
    "0",
    "0",
    "12948",
    "421776"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    9
  ],
  "naive_height": 40.01968805085789,
  "faltings_height": 1.4376715021532607,
  "conductor": "1482",
  "bad_primes": [
    "2",
    "3",
    "13",
    "19"
  ],
  "discriminant": "-215384711233536",
  "regulator": "1.735730763047140873500173538542793695979",
  "points": [
    [
      "-30",
      "96"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 1482l1 = LMFDB 1482.j3: https://www.lmfdb.org/EllipticCurve/Q/1482/j/3\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 1482, minimal discriminant -215384711233536, torsion ℤ/9ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-23 15:19:43",
  "updated_at": "2026-09-23 15:19:43"
}