Parameters

Characteristics

• j-invariant:
  0
• Trace of Frobenius:
  154267229207681125708793071161652324726038701923943665681563655
• Discriminant:
  23798378007415224600523786020682647333689401448557870707284910146274969430638668827605864233418695199132888067995603277183315

SAGE

p = 0x240024000D7EE23F2823CA035D31B144364C75E59AEFFF60544845142000765EFFF7C0000021138004DFFFFFD900000000000013
K = GF(p)
a = K(0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)
b = K(0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002)
E = EllipticCurve(K, (a, b))
G = E(0x240024000D7EE23F2823CA035D31B144364C75E59AEFFF60544845142000765EFFF7C0000021138004DFFFFFD900000000000012, 0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001)
E.set_order(0x240024000D7EE23F2823CA035D31B144364C75E59AEFFF605447E513F00070607FF82000001F9080041FFFFFDF0000000000000D * 0x01)

PARI/GP

p = 0x240024000D7EE23F2823CA035D31B144364C75E59AEFFF60544845142000765EFFF7C0000021138004DFFFFFD900000000000013
a = Mod(0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000, p)
b = Mod(0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002, p)
E = ellinit([a, b])
E[16][1] = 0x240024000D7EE23F2823CA035D31B144364C75E59AEFFF605447E513F00070607FF82000001F9080041FFFFFDF0000000000000D * 0x01
G = [Mod(0x240024000D7EE23F2823CA035D31B144364C75E59AEFFF60544845142000765EFFF7C0000021138004DFFFFFD900000000000012, p), Mod(0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001, p)]

JSON

{
  "name": "bn414",
  "desc": "",
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0x240024000D7EE23F2823CA035D31B144364C75E59AEFFF60544845142000765EFFF7C0000021138004DFFFFFD900000000000013",
    "bits": 414
  },
  "params": {
    "a": {
      "raw": "0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
    },
    "b": {
      "raw": "0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002"
    }
  },
  "generator": {
    "x": {
      "raw": "0x240024000D7EE23F2823CA035D31B144364C75E59AEFFF60544845142000765EFFF7C0000021138004DFFFFFD900000000000012"
    },
    "y": {
      "raw": "0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001"
    }
  },
  "order": "0x240024000D7EE23F2823CA035D31B144364C75E59AEFFF605447E513F00070607FF82000001F9080041FFFFFDF0000000000000D",
  "cofactor": "0x01",
  "characteristics": {
    "j_invariant": "0",
    "discriminant": "23798378007415224600523786020682647333689401448557870707284910146274969430638668827605864233418695199132888067995603277183315",
    "trace_of_frobenius": "154267229207681125708793071161652324726038701923943665681563655"
  }
}