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

Parameters

Characteristics

• j-invariant:
  0
• Trace of Frobenius:
  5192296858534689624111674181427015
• Discriminant:
  26959946667149205758383469736921695435015736735261155141423417420035
• Anomalous:
  false
• Supersingular:
  false
• Embedding degree:
  12
• CM-discriminant:
  11982198518732980337059319883076308505307343156261666272668832029853
• Conductor:
  3

SAGE

p = 0xfffffffffff107288ec29e602c4520db42180823bb907d1287127833
K = GF(p)
a = K(0x00)
b = K(0x03)
E = EllipticCurve(K, (a, b))
G = E(0x01, 0x02)
E.set_order(0xfffffffffff107288ec29e602c4420db4218082b36c2accff76c58ed * 0x01)

PARI/GP

p = 0xfffffffffff107288ec29e602c4520db42180823bb907d1287127833
a = Mod(0x00, p)
b = Mod(0x03, p)
E = ellinit([a, b])
E[16][1] = 0xfffffffffff107288ec29e602c4420db4218082b36c2accff76c58ed * 0x01
G = [Mod(0x01, p), Mod(0x02, p)]

JSON

{
  "name": "Fp224BN",
  "desc": "Curve described in https://www.iso.org/standard/80241.html",
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0xfffffffffff107288ec29e602c4520db42180823bb907d1287127833",
    "bits": 224
  },
  "params": {
    "a": {
      "raw": "0x00"
    },
    "b": {
      "raw": "0x03"
    }
  },
  "generator": {
    "x": {
      "raw": "0x01"
    },
    "y": {
      "raw": "0x02"
    }
  },
  "order": "0xfffffffffff107288ec29e602c4420db4218082b36c2accff76c58ed",
  "cofactor": "0x01",
  "characteristics": {
    "j_invariant": "0",
    "anomalous": false,
    "cm_disc": "11982198518732980337059319883076308505307343156261666272668832029853",
    "conductor": "3",
    "discriminant": "26959946667149205758383469736921695435015736735261155141423417420035",
    "embedding_degree": "12",
    "torsion_degrees": [
      {
        "full": 3,
        "least": 3,
        "r": 2
      },
      {
        "full": 6,
        "least": 2,
        "r": 3
      },
      {
        "full": 8,
        "least": 8,
        "r": 5
      },
      {
        "full": 6,
        "least": 2,
        "r": 7
      },
      {
        "full": 10,
        "least": 10,
        "r": 11
      },
      {
        "full": 12,
        "least": 2,
        "r": 13
      }
    ],
    "supersingular": false,
    "trace_of_frobenius": "5192296858534689624111674181427015"
  }
}