{
  "id": 643,
  "curve_key": "57:-621",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-1",
    "1"
  ],
  "rank_lower_bound": 1,
  "torsion": [],
  "naive_height": 12.862662163866958,
  "faltings_height": -0.9022285203492729,
  "conductor": "58",
  "bad_primes": [
    "2",
    "29"
  ],
  "discriminant": "-116",
  "regulator": "0.04242030783992984976677705194498259129391",
  "points": [
    [
      "0",
      "1"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 58a1 = LMFDB 58.a1. Curve data, generator (0, 1) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/58/a/1",
  "created_at": "2026-09-08 17:19:41",
  "updated_at": "2026-09-08 17:19:41"
}