Parameters

Characteristics

• j-invariant:
  0
• Trace of Frobenius:
  129607518034317099905336561907183648775
• Discriminant:
  16798108731015832284940804142231733909889187121439069848933715426072753862995
• Anomalous:
  false
• Supersingular:
  false
• Embedding degree:
  12
• CM-discriminant:
  67192434924063329139763216568926935639427140967721962295829525142383831810117
• Conductor:
  1

SAGE

p = 0x2523648240000001BA344D80000000086121000000000013A700000000000013
K = GF(p)
a = K(0x0000000000000000000000000000000000000000000000000000000000000000)
b = K(0x0000000000000000000000000000000000000000000000000000000000000002)
E = EllipticCurve(K, (a, b))
G = E(0x2523648240000001BA344D80000000086121000000000013A700000000000012, 0x0000000000000000000000000000000000000000000000000000000000000001)
E.set_order(0x2523648240000001BA344D8000000007FF9F800000000010A10000000000000D * 0x01)

PARI/GP

p = 0x2523648240000001BA344D80000000086121000000000013A700000000000013
a = Mod(0x0000000000000000000000000000000000000000000000000000000000000000, p)
b = Mod(0x0000000000000000000000000000000000000000000000000000000000000002, p)
E = ellinit([a, b])
E[16][1] = 0x2523648240000001BA344D8000000007FF9F800000000010A10000000000000D * 0x01
G = [Mod(0x2523648240000001BA344D80000000086121000000000013A700000000000012, p), Mod(0x0000000000000000000000000000000000000000000000000000000000000001, p)]

JSON

{
  "name": "bn254",
  "desc": "",
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0x2523648240000001BA344D80000000086121000000000013A700000000000013",
    "bits": 254
  },
  "params": {
    "a": {
      "raw": "0x0000000000000000000000000000000000000000000000000000000000000000"
    },
    "b": {
      "raw": "0x0000000000000000000000000000000000000000000000000000000000000002"
    }
  },
  "generator": {
    "x": {
      "raw": "0x2523648240000001BA344D80000000086121000000000013A700000000000012"
    },
    "y": {
      "raw": "0x0000000000000000000000000000000000000000000000000000000000000001"
    }
  },
  "order": "0x2523648240000001BA344D8000000007FF9F800000000010A10000000000000D",
  "cofactor": "0x01",
  "aliases": [
    "other/Fp254BNb"
  ],
  "characteristics": {
    "j_invariant": "0",
    "anomalous": false,
    "cm_disc": "67192434924063329139763216568926935639427140967721962295829525142383831810117",
    "conductor": "1",
    "discriminant": "16798108731015832284940804142231733909889187121439069848933715426072753862995",
    "embedding_degree": "12",
    "torsion_degrees": [
      {
        "full": 3,
        "least": 3,
        "r": 2
      },
      {
        "full": 2,
        "least": 2,
        "r": 3
      },
      {
        "full": 8,
        "least": 8,
        "r": 5
      },
      {
        "full": 6,
        "least": 6,
        "r": 7
      }
    ],
    "supersingular": false,
    "trace_of_frobenius": "129607518034317099905336561907183648775"
  }
}