{
  "id": 3359,
  "curve_key": "3260208:-4869227520",
  "ainvs": [
    "0",
    "0",
    "0",
    "-67921",
    "5635680"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "naive_height": 44.99190466496551,
  "faltings_height": 1.7506667800050695,
  "conductor": "318317792",
  "bad_primes": [
    "2",
    "13",
    "17",
    "19",
    "23",
    "103"
  ],
  "discriminant": "6332888543984704",
  "regulator": "80.74771508933936142790945847572886098712221367",
  "points": [
    [
      "-48",
      "2964"
    ],
    [
      "28",
      "1938"
    ],
    [
      "47",
      "1596"
    ],
    [
      "1473",
      "55692"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Found in a Mestre–Nagao-sieved search of the family y^2 = x(x+a)(x+b), at a = 103, b = 494; converted to the global minimal model. The 4 witness points were found with PARI/GP ellrank. Conductor 318317792, torsion ℤ/2ℤ × ℤ/2ℤ.",
  "created_at": "2026-09-26 21:11:45",
  "updated_at": "2026-09-26 21:11:45"
}