{
  "id": 3364,
  "curve_key": "13066048:30061365760",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-272209",
    "-34702511"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "naive_height": 49.156583004098714,
  "faltings_height": 2.133703282767148,
  "conductor": "438156096",
  "bad_primes": [
    "2",
    "3",
    "7",
    "17",
    "127",
    "151"
  ],
  "discriminant": "767923057847844864",
  "regulator": "86.22304763333035504130517826597479716413056583",
  "points": [
    [
      "-375",
      "3808"
    ],
    [
      "-341",
      "4284"
    ],
    [
      "-312",
      "4445"
    ],
    [
      "6289",
      "496944"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Found in a Mestre–Nagao-sieved search of the family y^2 = x(x+a)(x+b), at a = -302, b = -1016; converted to the global minimal model. The 4 witness points were found with PARI/GP ellrank. Conductor 438156096, torsion ℤ/2ℤ × ℤ/2ℤ.",
  "created_at": "2026-09-26 21:12:33",
  "updated_at": "2026-09-26 21:12:33"
}