Parameters

Characteristics

• j-invariant:
  0
• Trace of Frobenius:
  548079839685593379889100768354473324754975588407
• Discriminant:
  300391510669785740008207650393722453451551004041839877989597999344720209212220677955394396490075
• Anomalous:
  false
• Supersingular:
  false
• Embedding degree:
  12
• CM-discriminant:
  1201566042679142960032830601574889813806204016166811432118706403998991736080528238496822610378805

SAGE

p = 0x24009000D800900024075015F015F0075000008F411E808F4000000004E484E4800000000000101B
K = GF(p)
a = K(0x00000000000000000000000000000000000000000000000000000000000000000000000000000000)
b = K(0x00000000000000000000000000000000000000000000000000000000000000000000000000000002)
E = EllipticCurve(K, (a, b))
G = E(0x24009000D800900024075015F015F0075000008F411E808F4000000004E484E4800000000000101A, 0x00000000000000000000000000000000000000000000000000000000000000000000000000000001)
E.set_order(0x24009000D800900024075015F015F0075000008EE11DC08EE000000004DB84DB8000000000000FE5 * 0x01)

PARI/GP

p = 0x24009000D800900024075015F015F0075000008F411E808F4000000004E484E4800000000000101B
a = Mod(0x00000000000000000000000000000000000000000000000000000000000000000000000000000000, p)
b = Mod(0x00000000000000000000000000000000000000000000000000000000000000000000000000000002, p)
E = ellinit([a, b])
E[16][1] = 0x24009000D800900024075015F015F0075000008EE11DC08EE000000004DB84DB8000000000000FE5 * 0x01
G = [Mod(0x24009000D800900024075015F015F0075000008F411E808F4000000004E484E4800000000000101A, p), Mod(0x00000000000000000000000000000000000000000000000000000000000000000000000000000001, p)]

JSON

{
  "name": "bn318",
  "desc": "",
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0x24009000D800900024075015F015F0075000008F411E808F4000000004E484E4800000000000101B",
    "bits": 318
  },
  "params": {
    "a": {
      "raw": "0x00000000000000000000000000000000000000000000000000000000000000000000000000000000"
    },
    "b": {
      "raw": "0x00000000000000000000000000000000000000000000000000000000000000000000000000000002"
    }
  },
  "generator": {
    "x": {
      "raw": "0x24009000D800900024075015F015F0075000008F411E808F4000000004E484E4800000000000101A"
    },
    "y": {
      "raw": "0x00000000000000000000000000000000000000000000000000000000000000000000000000000001"
    }
  },
  "order": "0x24009000D800900024075015F015F0075000008EE11DC08EE000000004DB84DB8000000000000FE5",
  "cofactor": "0x01",
  "characteristics": {
    "j_invariant": "0",
    "anomalous": false,
    "cm_disc": "1201566042679142960032830601574889813806204016166811432118706403998991736080528238496822610378805",
    "discriminant": "300391510669785740008207650393722453451551004041839877989597999344720209212220677955394396490075",
    "embedding_degree": "12",
    "supersingular": false,
    "trace_of_frobenius": "548079839685593379889100768354473324754975588407"
  }
}