{
  "id": 2705,
  "curve_key": "2062288:-2960342720",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-42964",
    "3440644"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    4,
    2
  ],
  "naive_height": 43.61797981208745,
  "faltings_height": 1.3774393122785253,
  "conductor": "54264",
  "bad_primes": [
    "2",
    "3",
    "7",
    "17",
    "19"
  ],
  "discriminant": "4251975969024",
  "regulator": "4.52326842104789240261453743697340266823019",
  "points": [
    [
      "104",
      "294"
    ],
    [
      "124",
      "66"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 54264h2 = LMFDB 54264.b3: https://www.lmfdb.org/EllipticCurve/Q/54264/b/3\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 54264, minimal discriminant 4251975969024, torsion ℤ/2ℤ × ℤ/4ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:18:33",
  "updated_at": "2026-09-26 20:18:33"
}