Curve from https://eprint.iacr.org/2014/130.pdf. No generator present.

Parameters

Sources

• Selecting Elliptic Curves for Cryptography: An Efficiency and Security Analysis

Characteristics

• j-invariant:
  11763417020248336900531851014528852113062851552345693728565095240611454671801552872415821277149082183594513817350077
• Trace of Frobenius:
  2113793218673198987988742457840023505747218554421793635005
• Discriminant:
  19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820399188403718683
• Embedding degree:
  19701003098197239606139520050071806902539869635232723333972032908904187686760616563249293103936710601848892201517982
• CM-discriminant:
  -74335890621480155989754748787396375367320169623343827664223445845656783833349619164859155948472241645542524819261923
• Conductor:
  1

SAGE

p = 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe5b
K = GF(p)
a = K(0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe58)
b = K(0x17dbc)
E = EllipticCurve(K, (a, b))
# No generator defined
E.set_order(0x7fffffffffffffffffffffffffffffffffffffffffffffffa9caf814a8a116ad9fb0b4035417aaf319297fc0bb7a439f * 0x01)

PARI/GP

p = 0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe5b
a = Mod(0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe58, p)
b = Mod(0x17dbc, p)
E = ellinit([a, b])
E[16][1] = 0x7fffffffffffffffffffffffffffffffffffffffffffffffa9caf814a8a116ad9fb0b4035417aaf319297fc0bb7a439f * 0x01
\\ No generator defined

JSON

{
  "name": "w-383-mers",
  "desc": "Curve from https://eprint.iacr.org/2014/130.pdf. No generator present.",
  "sources": [
    {
      "name": "Selecting Elliptic Curves for Cryptography: An Efficiency and Security Analysis",
      "url": "https://eprint.iacr.org/2014/130"
    }
  ],
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe5b",
    "bits": 383
  },
  "params": {
    "a": {
      "raw": "0x7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe58"
    },
    "b": {
      "raw": "0x17dbc"
    }
  },
  "order": "0x7fffffffffffffffffffffffffffffffffffffffffffffffa9caf814a8a116ad9fb0b4035417aaf319297fc0bb7a439f",
  "cofactor": "0x01",
  "characteristics": {
    "cm_disc": "-74335890621480155989754748787396375367320169623343827664223445845656783833349619164859155948472241645542524819261923",
    "conductor": "1",
    "discriminant": "19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820399188403718683",
    "j_invariant": "11763417020248336900531851014528852113062851552345693728565095240611454671801552872415821277149082183594513817350077",
    "embedding_degree": "19701003098197239606139520050071806902539869635232723333972032908904187686760616563249293103936710601848892201517982",
    "trace_of_frobenius": "2113793218673198987988742457840023505747218554421793635005"
  }
}