{
  "id": 1079,
  "curve_key": "32305899361:5093729135253359",
  "ainvs": [
    "1",
    "0",
    "0",
    "-673039570",
    "-5895575919100"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    8,
    2
  ],
  "naive_height": 72.59554707975985,
  "faltings_height": 4.033772326480871,
  "conductor": "249690",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "29",
    "41"
  ],
  "discriminant": "4496908623986020832100000000",
  "regulator": "4.745614618301898279040255863883040063116",
  "points": [
    [
      "29720",
      "579230"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 249690cj2 = LMFDB 249690.cj6: https://www.lmfdb.org/EllipticCurve/Q/249690/cj/6\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 249690, minimal discriminant 4496908623986020832100000000, torsion ℤ/2ℤ × ℤ/8ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-23 15:26:08",
  "updated_at": "2026-09-23 15:26:08"
}