Parameters

Characteristics

• OID:
  1.3.132.0.17
• Seed:
  77E2B07370EB0F832A6DD5B62DFC88CD06BB84BE
• j-invariant:
  627751430426462883238147702498843470781790640735057151432982237133924095803873168483
• Trace of Frobenius:
  2863663306391796106224371145726066910599667
• Discriminant:
  4821813576056072374006997780399081180312270030300601270120450341205914644378616963829
• Anomalous:
  false
• Supersingular:
  false
• CM-discriminant:
  62165404551223330269422781018352605012557015986005158288261890887273791400499761341965
• Conductor:
  1

SAGE

F.<x> = GF(2)[]
K = GF(2^283, name="x", modulus= x^283 +  x^12 +  x^7 +  x^5 + 1)
E = EllipticCurve(K, (1, K.fetch_int(0x000000000000000000000000000000000000000000000000000000000000000000000001), 0, 0, K.fetch_int(0x027b680ac8b8596da5a4af8a19a0303fca97fd7645309fa2a581485af6263e313b79a2f5)))
E.set_order(0x03ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307 * 0x2)
G = E(K.fetch_int(0x05f939258db7dd90e1934f8c70b0dfec2eed25b8557eac9c80e2e198f8cdbecd86b12053), K.fetch_int(0x03676854fe24141cb98fe6d4b20d02b4516ff702350eddb0826779c813f0df45be8112f4))

JSON

{
  "name": "sect283r1",
  "desc": "",
  "oid": "1.3.132.0.17",
  "form": "Weierstrass",
  "field": {
    "type": "Binary",
    "bits": 283,
    "degree": 283,
    "poly": [
      {
        "coeff": "0x01",
        "power": 283
      },
      {
        "coeff": "0x01",
        "power": 12
      },
      {
        "coeff": "0x01",
        "power": 7
      },
      {
        "coeff": "0x01",
        "power": 5
      },
      {
        "coeff": "0x01",
        "power": 0
      }
    ],
    "basis": "poly"
  },
  "params": {
    "a": {
      "raw": "0x000000000000000000000000000000000000000000000000000000000000000000000001"
    },
    "b": {
      "raw": "0x027b680ac8b8596da5a4af8a19a0303fca97fd7645309fa2a581485af6263e313b79a2f5"
    }
  },
  "generator": {
    "x": {
      "raw": "0x05f939258db7dd90e1934f8c70b0dfec2eed25b8557eac9c80e2e198f8cdbecd86b12053"
    },
    "y": {
      "raw": "0x03676854fe24141cb98fe6d4b20d02b4516ff702350eddb0826779c813f0df45be8112f4"
    }
  },
  "order": "0x03ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307",
  "cofactor": "0x2",
  "aliases": [
    "nist/B-283",
    "x963/ansit283r1"
  ],
  "characteristics": {
    "seed": "77E2B07370EB0F832A6DD5B62DFC88CD06BB84BE",
    "j_invariant": "627751430426462883238147702498843470781790640735057151432982237133924095803873168483",
    "anomalous": false,
    "cm_disc": "62165404551223330269422781018352605012557015986005158288261890887273791400499761341965",
    "conductor": "1",
    "discriminant": "4821813576056072374006997780399081180312270030300601270120450341205914644378616963829",
    "supersingular": false,
    "trace_of_frobenius": "2863663306391796106224371145726066910599667"
  }
}