{
  "id": 3264,
  "curve_key": "26875584:-139327506648",
  "ainvs": [
    "0",
    "0",
    "1",
    "-559908",
    "161258688"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    3
  ],
  "naive_height": 51.32018632322572,
  "faltings_height": 1.5325429246626427,
  "conductor": "74655",
  "bad_primes": [
    "3",
    "5",
    "7",
    "79"
  ],
  "discriminant": "-373275",
  "regulator": "35.4130544805723035226181467763774330621745",
  "points": [
    [
      "666",
      "9152"
    ],
    [
      "17281/36",
      "380107/216"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 74655j1 = LMFDB 74655.f1: https://www.lmfdb.org/EllipticCurve/Q/74655/f/1\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 74655, minimal discriminant -373275, torsion ℤ/3ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:48:12",
  "updated_at": "2026-09-26 20:48:12"
}