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

Parameters

Sources

• ISO/IEC 15946-5:2013 - Information technology — Security techniques — Cryptographic techniques based on elliptic curves — Part 5: Elliptic curve generation

Characteristics

• j-invariant:
  0
• Trace of Frobenius:
  340282366920936614211651523200128901127
• Discriminant:
  115792089237314936872688561244471742058375878355761205198700409522629664514275
• Anomalous:
  false
• Supersingular:
  false
• Embedding degree:
  12
• CM-discriminant:
  -3
• Conductor:
  340282366920936614181528116269263699971

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",
  "sources": [
    {
      "name": "ISO/IEC 15946-5:2013 - Information technology — Security techniques — Cryptographic techniques based on elliptic curves — Part 5: Elliptic curve generation",
      "url": "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": {
    "discriminant": "115792089237314936872688561244471742058375878355761205198700409522629664514275",
    "j_invariant": "0",
    "trace_of_frobenius": "340282366920936614211651523200128901127",
    "embedding_degree": "12",
    "anomalous": false,
    "supersingular": false,
    "cm_disc": "-3",
    "conductor": "340282366920936614181528116269263699971"
  }
}