{
  "id": 660,
  "curve_key": "496:-7640",
  "ainvs": [
    "0",
    "-1",
    "1",
    "-10",
    "12"
  ],
  "rank_lower_bound": 3,
  "torsion": [],
  "naive_height": 18.61972778017478,
  "faltings_height": -0.4186529215113602,
  "conductor": "12279",
  "bad_primes": [
    "3",
    "4093"
  ],
  "discriminant": "36837",
  "regulator": "0.43042023784450097431906322568534552158097166",
  "points": [
    [
      "1",
      "1"
    ],
    [
      "4",
      "4"
    ],
    [
      "-2",
      "4"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 12279a1 = LMFDB 12279.a1. Curve data, generators (1, 1), (4, 4), (-2, 4) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/12279/a/1",
  "created_at": "2026-09-08 19:17:21",
  "updated_at": "2026-09-08 19:17:21"
}