Parameters

Sources

• RFC4357

Characteristics

• j-invariant:
  13400399677678676002639727779927641535937242518871847719684786238842635618271
• Trace of Frobenius:
  158633982881099435961745385353335106019
• Discriminant:
  70390085352083305199547718019018437841079516630045180471284346843239225497499
• Embedding degree:
  70390085352083305199547718019018437840920882647164081035322601458352298396600
• CM-discriminant:
  -256395600883612271892723315726519844445629930397733683085773745599364563982115
• Conductor:
  1

SAGE

p = 0x9b9f605f5a858107ab1ec85e6b41c8aacf846e86789051d37998f7b9022d759b
K = GF(p)
a = K(0x9b9f605f5a858107ab1ec85e6b41c8aacf846e86789051d37998f7b9022d7598)
b = K(0x805a)
E = EllipticCurve(K, (a, b))
G = E(0x00, 0x41ece55743711a8c3cbf3783cd08c0ee4d4dc440d4641a8f366e550dfdb3bb67)
E.set_order(0x9b9f605f5a858107ab1ec85e6b41c8aa582ca3511eddfb74f02f3a6598980bb9 * 0x1)

PARI/GP

p = 0x9b9f605f5a858107ab1ec85e6b41c8aacf846e86789051d37998f7b9022d759b
a = Mod(0x9b9f605f5a858107ab1ec85e6b41c8aacf846e86789051d37998f7b9022d7598, p)
b = Mod(0x805a, p)
E = ellinit([a, b])
E[16][1] = 0x9b9f605f5a858107ab1ec85e6b41c8aa582ca3511eddfb74f02f3a6598980bb9 * 0x1
G = [Mod(0x00, p), Mod(0x41ece55743711a8c3cbf3783cd08c0ee4d4dc440d4641a8f366e550dfdb3bb67, p)]

JSON

{
  "name": "id-GostR3410-2001-CryptoPro-C-ParamSet",
  "desc": "",
  "sources": [
    {
      "name": "RFC4357",
      "url": "https://datatracker.ietf.org/doc/html/rfc4357"
    }
  ],
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0x9b9f605f5a858107ab1ec85e6b41c8aacf846e86789051d37998f7b9022d759b",
    "bits": 256
  },
  "params": {
    "a": {
      "raw": "0x9b9f605f5a858107ab1ec85e6b41c8aacf846e86789051d37998f7b9022d7598"
    },
    "b": {
      "raw": "0x805a"
    }
  },
  "generator": {
    "x": {
      "raw": "0x00"
    },
    "y": {
      "raw": "0x41ece55743711a8c3cbf3783cd08c0ee4d4dc440d4641a8f366e550dfdb3bb67"
    }
  },
  "order": "0x9b9f605f5a858107ab1ec85e6b41c8aa582ca3511eddfb74f02f3a6598980bb9",
  "cofactor": "0x1",
  "characteristics": {
    "cm_disc": "-256395600883612271892723315726519844445629930397733683085773745599364563982115",
    "conductor": "1",
    "discriminant": "70390085352083305199547718019018437841079516630045180471284346843239225497499",
    "j_invariant": "13400399677678676002639727779927641535937242518871847719684786238842635618271",
    "embedding_degree": "70390085352083305199547718019018437840920882647164081035322601458352298396600",
    "trace_of_frobenius": "158633982881099435961745385353335106019"
  }
}