{
  "id": 3360,
  "curve_key": "3294256:3823266304",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-68630",
    "-4402200"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "naive_height": 45.023072711283696,
  "faltings_height": 1.7888744535387102,
  "conductor": "442345440",
  "bad_primes": [
    "2",
    "3",
    "5",
    "17",
    "151",
    "359"
  ],
  "discriminant": "12229343018049600",
  "regulator": "125.1956230128947142272164891656582027142243164",
  "points": [
    [
      "-190",
      "1320"
    ],
    [
      "-169",
      "1530"
    ],
    [
      "-118",
      "1428"
    ],
    [
      "-73",
      "462"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Found in a Mestre–Nagao-sieved search of the family y^2 = x(x+a)(x+b), at a = -151, b = -510; converted to the global minimal model. The 4 witness points were found with PARI/GP ellrank. Conductor 442345440, torsion ℤ/2ℤ × ℤ/2ℤ.",
  "created_at": "2026-09-26 21:11:55",
  "updated_at": "2026-09-26 21:11:55"
}