Parameters

Characteristics

• j-invariant:
  0
• Trace of Frobenius:
  43422033463993573283847164979847511362503473044959842495500254821277109321735
• Discriminant:
  1885472990148177717128295978135615557087890561449182466062048685887447869640291029478850359875117134356442109712418887586250126028988200000205538791824995

SAGE

p = 0x2400000000000000003F000000000001B0002958000000000237000C0F0000084000F8100151A400073800242D00001380019440000000000888000000000013
K = GF(p)
a = K(0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)
b = K(0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101)
E = EllipticCurve(K, (a, b))
G = E(0x2400000000000000003F000000000001B0002958000000000237000C0F0000084000F8100151A400073800242D00001380019440000000000888000000000012, 0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010)
E.set_order(0x2400000000000000003F000000000001B0002958000000000237000C0F000007E000F8100151A40006E400242D000010800181E000000000073800000000000D * 0x01)

PARI/GP

p = 0x2400000000000000003F000000000001B0002958000000000237000C0F0000084000F8100151A400073800242D00001380019440000000000888000000000013
a = Mod(0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000, p)
b = Mod(0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101, p)
E = ellinit([a, b])
E[16][1] = 0x2400000000000000003F000000000001B0002958000000000237000C0F000007E000F8100151A40006E400242D000010800181E000000000073800000000000D * 0x01
G = [Mod(0x2400000000000000003F000000000001B0002958000000000237000C0F0000084000F8100151A400073800242D00001380019440000000000888000000000012, p), Mod(0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010, p)]

JSON

{
  "name": "bn510",
  "desc": "",
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0x2400000000000000003F000000000001B0002958000000000237000C0F0000084000F8100151A400073800242D00001380019440000000000888000000000013",
    "bits": 510
  },
  "params": {
    "a": {
      "raw": "0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
    },
    "b": {
      "raw": "0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000101"
    }
  },
  "generator": {
    "x": {
      "raw": "0x2400000000000000003F000000000001B0002958000000000237000C0F0000084000F8100151A400073800242D00001380019440000000000888000000000012"
    },
    "y": {
      "raw": "0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010"
    }
  },
  "order": "0x2400000000000000003F000000000001B0002958000000000237000C0F000007E000F8100151A40006E400242D000010800181E000000000073800000000000D",
  "cofactor": "0x01",
  "characteristics": {
    "j_invariant": "0",
    "discriminant": "1885472990148177717128295978135615557087890561449182466062048685887447869640291029478850359875117134356442109712418887586250126028988200000205538791824995",
    "trace_of_frobenius": "43422033463993573283847164979847511362503473044959842495500254821277109321735"
  }
}