{
  "id": 654,
  "curve_key": "624:-15768",
  "ainvs": [
    "0",
    "0",
    "1",
    "-13",
    "18"
  ],
  "rank_lower_bound": 2,
  "torsion": [],
  "naive_height": 19.331475697665113,
  "faltings_height": -0.5181405016885217,
  "conductor": "655",
  "bad_primes": [
    "5",
    "131"
  ],
  "discriminant": "-3275",
  "regulator": "0.0989535198921937605455687057557254270470861",
  "points": [
    [
      "1",
      "2"
    ],
    [
      "3",
      "2"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 655a1 = LMFDB 655.a1. Curve data, generators (1, 2) and (3, 2) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/655/a/1",
  "created_at": "2026-09-08 19:03:47",
  "updated_at": "2026-09-08 19:03:47"
}