Parameters

Sources

• RFC4357

Characteristics

• j-invariant:
  43169872990915794112620541449232077143902050032137771262097426790406637182603
• Trace of Frobenius:
  196221757141320814079428202834060788997
• Discriminant:
  115792089237316195423570985008687907853269984665640564039457584007913117736855
• Embedding degree:
  57896044618658097711785492504343953926536881454249621612689077902539534425161
• CM-discriminant:
  -424665378973637295795640888511775743925042728546036986688706749501354362291267
• Conductor:
  1

SAGE

p = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd97
K = GF(p)
a = K(0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd94)
b = K(0xa6)
E = EllipticCurve(K, (a, b))
G = E(0x01, 0x8d91e471e0989cda27df505a453f2b7635294f2ddf23e3b122acc99c9e9f1e14)
E.set_order(0xffffffffffffffffffffffffffffffff6c611070995ad10045841b09b761b893 * 0x1)

PARI/GP

p = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd97
a = Mod(0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd94, p)
b = Mod(0xa6, p)
E = ellinit([a, b])
E[16][1] = 0xffffffffffffffffffffffffffffffff6c611070995ad10045841b09b761b893 * 0x1
G = [Mod(0x01, p), Mod(0x8d91e471e0989cda27df505a453f2b7635294f2ddf23e3b122acc99c9e9f1e14, p)]

JSON

{
  "name": "id-GostR3410-2001-CryptoPro-A-ParamSet",
  "desc": "",
  "sources": [
    {
      "name": "RFC4357",
      "url": "https://datatracker.ietf.org/doc/html/rfc4357"
    }
  ],
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd97",
    "bits": 256
  },
  "params": {
    "a": {
      "raw": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd94"
    },
    "b": {
      "raw": "0xa6"
    }
  },
  "generator": {
    "x": {
      "raw": "0x01"
    },
    "y": {
      "raw": "0x8d91e471e0989cda27df505a453f2b7635294f2ddf23e3b122acc99c9e9f1e14"
    }
  },
  "order": "0xffffffffffffffffffffffffffffffff6c611070995ad10045841b09b761b893",
  "cofactor": "0x1",
  "characteristics": {
    "cm_disc": "-424665378973637295795640888511775743925042728546036986688706749501354362291267",
    "conductor": "1",
    "discriminant": "115792089237316195423570985008687907853269984665640564039457584007913117736855",
    "j_invariant": "43169872990915794112620541449232077143902050032137771262097426790406637182603",
    "embedding_degree": "57896044618658097711785492504343953926536881454249621612689077902539534425161",
    "trace_of_frobenius": "196221757141320814079428202834060788997"
  }
}