{
  "id": 3379,
  "curve_key": "13185648:-47027053440",
  "ainvs": [
    "0",
    "0",
    "0",
    "-274701",
    "54429460"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "naive_height": 49.18391856995862,
  "faltings_height": 1.9894885635403385,
  "conductor": "96183648",
  "bad_primes": [
    "2",
    "3",
    "11",
    "97",
    "313"
  ],
  "discriminant": "46834676596851264",
  "regulator": "73.52973821793387033625966018988352496955511902",
  "points": [
    [
      "-313",
      "10476"
    ],
    [
      "560",
      "8730"
    ],
    [
      "-1543/4",
      "81189/8"
    ],
    [
      "9/4",
      "58685/8"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Found in a Mestre–Nagao-sieved search of the family y^2 = x(x+a)(x+b), at a = 66, b = 939; converted to the global minimal model. The 4 witness points were found with PARI/GP ellrank. Conductor 96183648, torsion ℤ/2ℤ × ℤ/2ℤ.",
  "created_at": "2026-09-26 21:17:34",
  "updated_at": "2026-09-26 21:17:34"
}