{
  "id": 3353,
  "curve_key": "4058688:-3808995840",
  "ainvs": [
    "0",
    "0",
    "0",
    "-84556",
    "4408560"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "naive_height": 45.649110979930406,
  "faltings_height": 1.8576130758112985,
  "conductor": "43513792",
  "bad_primes": [
    "2",
    "7",
    "23",
    "41",
    "103"
  ],
  "discriminant": "30295201507508224",
  "regulator": "63.10616281289593059100285295072107653336707633",
  "points": [
    [
      "-152",
      "3708"
    ],
    [
      "-90",
      "3360"
    ],
    [
      "1702",
      "69216"
    ],
    [
      "-2810/9",
      "16480/27"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Found in a Mestre–Nagao-sieved search of the family y^2 = x(x+a)(x+b), at a = 206, b = 574; converted to the global minimal model. The 4 witness points were found with PARI/GP ellrank. Conductor 43513792, torsion ℤ/2ℤ × ℤ/2ℤ.",
  "created_at": "2026-09-26 21:10:45",
  "updated_at": "2026-09-26 21:10:45"
}