{
  "id": 2954,
  "curve_key": "0:-194400",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "225"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    3
  ],
  "naive_height": 24.35534634201695,
  "faltings_height": 0.0872681042930413,
  "conductor": "24300",
  "bad_primes": [
    "2",
    "3",
    "5"
  ],
  "discriminant": "-21870000",
  "regulator": "1.38909303935706191886763522495118242671012",
  "points": [
    [
      "-6",
      "3"
    ],
    [
      "6",
      "21"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 24300x1 = LMFDB 24300.e2: https://www.lmfdb.org/EllipticCurve/Q/24300/e/2\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 24300, minimal discriminant -21870000, torsion ℤ/3ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:29:57",
  "updated_at": "2026-09-26 20:29:57"
}