Curve from https://github.com/relic-toolkit/relic.

Parameters

Sources

• RELIC: Efficient LIbrary for Cryptography

Characteristics

• j-invariant:
  0
• Trace of Frobenius:
  75557872733115725645825
• Discriminant:
  62023615502630691959947542088993379461260029989578145286594463370037455903184790399094337933920614809072869582259708675651604292655077867
• Embedding degree:
  100743830310820967527764
• CM-discriminant:
  -3
• Conductor:
  287572867293678436974519977531226436303080379672880577582937484382891

SAGE

p = 0x55555955557955572aa00e0f95b49203003f665e3a5b1d56234bd93954fcb314b8b3db9994ace86d1ba6c589556b2aa956aaa00001800002ab
K = GF(p)
a = K(0x00)
b = K(0x0a)
E = EllipticCurve(K, (a, b))
G = E(0x03018DF4C2336D178E6EA61540353ABA01923E3890B3295848906DFC90E0C43008E4751FFC913DC1FF3DF33D11DB57BADA7A9297195ACFB2FA, 0x19A8A9C4C3AC2FFB4C6B380D17B8282E029615052EAA6416C16C8F36F251D87C272657F0702CC58C4E072628D7BAD3C0E9B3A8AEBFC6B2357C)
E.set_order(0x10000080000380002E0000F10004F00025E000750001D1000A00000400001C00007FFFFC00001 * 0x555556AAAAB15555B54AAB6A9557FFAABFFAAB)

PARI/GP

p = 0x55555955557955572aa00e0f95b49203003f665e3a5b1d56234bd93954fcb314b8b3db9994ace86d1ba6c589556b2aa956aaa00001800002ab
a = Mod(0x00, p)
b = Mod(0x0a, p)
E = ellinit([a, b])
E[16][1] = 0x10000080000380002E0000F10004F00025E000750001D1000A00000400001C00007FFFFC00001 * 0x555556AAAAB15555B54AAB6A9557FFAABFFAAB
G = [Mod(0x03018DF4C2336D178E6EA61540353ABA01923E3890B3295848906DFC90E0C43008E4751FFC913DC1FF3DF33D11DB57BADA7A9297195ACFB2FA, p), Mod(0x19A8A9C4C3AC2FFB4C6B380D17B8282E029615052EAA6416C16C8F36F251D87C272657F0702CC58C4E072628D7BAD3C0E9B3A8AEBFC6B2357C, p)]

JSON

{
  "name": "BLS12-455",
  "desc": "Curve from https://github.com/relic-toolkit/relic.",
  "sources": [
    {
      "name": "RELIC: Efficient LIbrary for Cryptography",
      "url": "https://github.com/relic-toolkit/relic"
    }
  ],
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0x55555955557955572aa00e0f95b49203003f665e3a5b1d56234bd93954fcb314b8b3db9994ace86d1ba6c589556b2aa956aaa00001800002ab",
    "bits": 455
  },
  "params": {
    "a": {
      "raw": "0x00"
    },
    "b": {
      "raw": "0x0a"
    }
  },
  "generator": {
    "x": {
      "raw": "0x03018DF4C2336D178E6EA61540353ABA01923E3890B3295848906DFC90E0C43008E4751FFC913DC1FF3DF33D11DB57BADA7A9297195ACFB2FA"
    },
    "y": {
      "raw": "0x19A8A9C4C3AC2FFB4C6B380D17B8282E029615052EAA6416C16C8F36F251D87C272657F0702CC58C4E072628D7BAD3C0E9B3A8AEBFC6B2357C"
    }
  },
  "order": "0x10000080000380002E0000F10004F00025E000750001D1000A00000400001C00007FFFFC00001",
  "cofactor": "0x555556AAAAB15555B54AAB6A9557FFAABFFAAB",
  "characteristics": {
    "cm_disc": "-3",
    "conductor": "287572867293678436974519977531226436303080379672880577582937484382891",
    "discriminant": "62023615502630691959947542088993379461260029989578145286594463370037455903184790399094337933920614809072869582259708675651604292655077867",
    "j_invariant": "0",
    "embedding_degree": "100743830310820967527764",
    "trace_of_frobenius": "75557872733115725645825"
  }
}