Curve described in https://www.iso.org/standard/80241.html

Parameters

Characteristics

• j-invariant:
  0
• Trace of Frobenius:
  340282366920936614211651523200128901127
• Discriminant:
  115792089237314936872688561244471742058375878355761205198700409522629664514275
• Anomalous:
  false
• Supersingular:
  false
• Embedding degree:
  12
• CM-discriminant:
  2058526030885598877736685533235053192147392138027217263024844384743637907429
• Conductor:
  15

SAGE

p = 0xfffffffffffcf0cd46e5f25eee71a49f0cdc65fb12980a82d3292ddbaed33013
K = GF(p)
a = K(0x00)
b = K(0x03)
E = EllipticCurve(K, (a, b))
G = E(0x01, 0x02)
E.set_order(0xfffffffffffcf0cd46e5f25eee71a49e0cdc65fb1299921af62d536cd10b500d * 0x01)

PARI/GP

p = 0xfffffffffffcf0cd46e5f25eee71a49f0cdc65fb12980a82d3292ddbaed33013
a = Mod(0x00, p)
b = Mod(0x03, p)
E = ellinit([a, b])
E[16][1] = 0xfffffffffffcf0cd46e5f25eee71a49e0cdc65fb1299921af62d536cd10b500d * 0x01
G = [Mod(0x01, p), Mod(0x02, p)]

JSON

{
  "name": "Fp256BN",
  "desc": "Curve described in https://www.iso.org/standard/80241.html",
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0xfffffffffffcf0cd46e5f25eee71a49f0cdc65fb12980a82d3292ddbaed33013",
    "bits": 256
  },
  "params": {
    "a": {
      "raw": "0x00"
    },
    "b": {
      "raw": "0x03"
    }
  },
  "generator": {
    "x": {
      "raw": "0x01"
    },
    "y": {
      "raw": "0x02"
    }
  },
  "order": "0xfffffffffffcf0cd46e5f25eee71a49e0cdc65fb1299921af62d536cd10b500d",
  "cofactor": "0x01",
  "characteristics": {
    "j_invariant": "0",
    "anomalous": false,
    "cm_disc": "2058526030885598877736685533235053192147392138027217263024844384743637907429",
    "conductor": "15",
    "discriminant": "115792089237314936872688561244471742058375878355761205198700409522629664514275",
    "embedding_degree": "12",
    "torsion_degrees": [
      {
        "full": 3,
        "least": 3,
        "r": 2
      },
      {
        "full": 6,
        "least": 2,
        "r": 3
      },
      {
        "full": 24,
        "least": 24,
        "r": 5
      }
    ],
    "supersingular": false,
    "trace_of_frobenius": "340282366920936614211651523200128901127"
  }
}