{
  "id": 3259,
  "curve_key": "2824777:-4747623301",
  "ainvs": [
    "1",
    "0",
    "1",
    "-58850",
    "5490030"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    3
  ],
  "naive_height": 44.56181994418143,
  "faltings_height": 1.0399468256312647,
  "conductor": "9842",
  "bad_primes": [
    "2",
    "7",
    "19",
    "37"
  ],
  "discriminant": "68894",
  "regulator": "8.01733094423464013497158529164376779267113",
  "points": [
    [
      "122",
      "299"
    ],
    [
      "192",
      "1034"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 9842d1 = LMFDB 9842.a3: https://www.lmfdb.org/EllipticCurve/Q/9842/a/3\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 9842, minimal discriminant 68894, torsion ℤ/3ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:47:21",
  "updated_at": "2026-09-26 20:47:21"
}