Parameters

Characteristics

• j-invariant:
  0
• Trace of Frobenius:
  2845711812853053972806387468884004947678235462567670984735634579507964130977906695
• Discriminant:
  8098075721811414878105028299024751526203735822988204570759586766702677409513512479452243326535098163859087683174740008257961979909363199815965376947448202431297875

SAGE

p = 0x2400090000D80009000024000090001B01B1B051090510001B00D8001B0510D8A2084511080008D000090510005110800108138025380001B00000084000001380000013
K = GF(p)
a = K(0x0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)
b = K(0x0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002)
E = EllipticCurve(K, (a, b))
G = E(0x2400090000D80009000024000090001B01B1B051090510001B00D8001B0510D8A2084511080008D000090510005110800108138025380001B00000084000001380000012, 0x0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001)
E.set_order(0x2400090000D80009000024000090001B01B1B051090510001B00D8001B0510D8A207E510FC0008700009051000510FC000FC108025080001B0000007E00000108000000D * 0x01)

PARI/GP

p = 0x2400090000D80009000024000090001B01B1B051090510001B00D8001B0510D8A2084511080008D000090510005110800108138025380001B00000084000001380000013
a = Mod(0x0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000, p)
b = Mod(0x0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002, p)
E = ellinit([a, b])
E[16][1] = 0x2400090000D80009000024000090001B01B1B051090510001B00D8001B0510D8A207E510FC0008700009051000510FC000FC108025080001B0000007E00000108000000D * 0x01
G = [Mod(0x2400090000D80009000024000090001B01B1B051090510001B00D8001B0510D8A2084511080008D000090510005110800108138025380001B00000084000001380000012, p), Mod(0x0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001, p)]

JSON

{
  "name": "bn542",
  "desc": "",
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0x2400090000D80009000024000090001B01B1B051090510001B00D8001B0510D8A2084511080008D000090510005110800108138025380001B00000084000001380000013",
    "bits": 542
  },
  "params": {
    "a": {
      "raw": "0x0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
    },
    "b": {
      "raw": "0x0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002"
    }
  },
  "generator": {
    "x": {
      "raw": "0x2400090000D80009000024000090001B01B1B051090510001B00D8001B0510D8A2084511080008D000090510005110800108138025380001B00000084000001380000012"
    },
    "y": {
      "raw": "0x0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001"
    }
  },
  "order": "0x2400090000D80009000024000090001B01B1B051090510001B00D8001B0510D8A207E510FC0008700009051000510FC000FC108025080001B0000007E00000108000000D",
  "cofactor": "0x01",
  "characteristics": {
    "j_invariant": "0",
    "discriminant": "8098075721811414878105028299024751526203735822988204570759586766702677409513512479452243326535098163859087683174740008257961979909363199815965376947448202431297875",
    "trace_of_frobenius": "2845711812853053972806387468884004947678235462567670984735634579507964130977906695"
  }
}