{
  "id": 2704,
  "curve_key": "2352:-114264",
  "ainvs": [
    "0",
    "0",
    "1",
    "-49",
    "132"
  ],
  "rank_lower_bound": 3,
  "torsion": [],
  "naive_height": 23.29253367908493,
  "faltings_height": -0.2650611067535215,
  "conductor": "26171",
  "bad_primes": [
    "26171"
  ],
  "discriminant": "-26171",
  "regulator": "0.76741106056686255182221044745366575448361628",
  "points": [
    [
      "4",
      "0"
    ],
    [
      "3",
      "3"
    ],
    [
      "5",
      "3"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Cremona 26171a1 = LMFDB 26171.a1: https://www.lmfdb.org/EllipticCurve/Q/26171/a/1\n\nMordell–Weil rank exactly 3 (Cremona's tables). Conductor 26171, minimal discriminant -26171, torsion trivial. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:18:32",
  "updated_at": "2026-09-26 20:18:32"
}