Parameters

Characteristics

• j-invariant:
  0
• Trace of Frobenius:
  1943310227059934816526534243778567
• Discriminant:
  3776454638595735622662624104352071470606035506175466834584696299191
• Anomalous:
  false
• Supersingular:
  false
• Embedding degree:
  12
• CM-discriminant:
  1678424283820326943405610713045364882123768329418561201311628394541

SAGE

p = 0x23DC0D7DC02402CDE486F4C00015B5215C0000004C6CE00000000067
K = GF(p)
a = K(0x00000000000000000000000000000000000000000000000000000000)
b = K(0x00000000000000000000000000000000000000000000000000000101)
E = EllipticCurve(K, (a, b))
G = E(0x23DC0D7DC02402CDE486F4C00015B5215C0000004C6CE00000000066, 0x00000000000000000000000000000000000000000000000000000010)
E.set_order(0x23DC0D7DC02402CDE486F4C00015555156000000496DA00000000061 * 0x01)

PARI/GP

p = 0x23DC0D7DC02402CDE486F4C00015B5215C0000004C6CE00000000067
a = Mod(0x00000000000000000000000000000000000000000000000000000000, p)
b = Mod(0x00000000000000000000000000000000000000000000000000000101, p)
E = ellinit([a, b])
E[16][1] = 0x23DC0D7DC02402CDE486F4C00015555156000000496DA00000000061 * 0x01
G = [Mod(0x23DC0D7DC02402CDE486F4C00015B5215C0000004C6CE00000000066, p), Mod(0x00000000000000000000000000000000000000000000000000000010, p)]

JSON

{
  "name": "bn222",
  "desc": "",
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0x23DC0D7DC02402CDE486F4C00015B5215C0000004C6CE00000000067",
    "bits": 222
  },
  "params": {
    "a": {
      "raw": "0x00000000000000000000000000000000000000000000000000000000"
    },
    "b": {
      "raw": "0x00000000000000000000000000000000000000000000000000000101"
    }
  },
  "generator": {
    "x": {
      "raw": "0x23DC0D7DC02402CDE486F4C00015B5215C0000004C6CE00000000066"
    },
    "y": {
      "raw": "0x00000000000000000000000000000000000000000000000000000010"
    }
  },
  "order": "0x23DC0D7DC02402CDE486F4C00015555156000000496DA00000000061",
  "cofactor": "0x01",
  "characteristics": {
    "j_invariant": "0",
    "anomalous": false,
    "cm_disc": "1678424283820326943405610713045364882123768329418561201311628394541",
    "discriminant": "3776454638595735622662624104352071470606035506175466834584696299191",
    "embedding_degree": "12",
    "supersingular": false,
    "trace_of_frobenius": "1943310227059934816526534243778567"
  }
}