{
  "id": 424,
  "curve_key": "16:-280",
  "ainvs": [
    "0",
    "1",
    "1",
    "0",
    "0"
  ],
  "rank_lower_bound": 1,
  "torsion": [],
  "naive_height": 11.269579206338499,
  "faltings_height": -1.0044304966130837,
  "conductor": "43",
  "bad_primes": [
    "43"
  ],
  "discriminant": "-43",
  "regulator": "0.06281650708748764926570879146696868631899",
  "points": [
    [
      "0",
      "0"
    ]
  ],
  "submitter": "NDElkies",
  "history": [],
  "commentary": "The second elliptic curve of positive rank (LMFDB 43.a1, a.k.a. the Fricke quotient of the modular curve X_0(43)), which happens to have a somewhat smaller naive height than the rank-1 curve of conductor 37.",
  "created_at": "2026-08-29 17:25:22",
  "updated_at": "2026-08-29 17:25:22"
}