Parameters

Characteristics

• j-invariant:
  0
• Trace of Frobenius:
  12222215858006915839141401255556695821975177558367937484927312121315564820050836996405726215
• Discriminant:
  149382560479715729921650870888843346324510370210262391936546251975130529782979972747938509514543700633492700155237654428326390908646123885612873792268661751975617273279725264282339155

SAGE

p = 0x23FFFFFFFFFFFEE00000000000036000000241AFFB7FFFFFF275E0024000001B1440000D94482DF27FFFC9AEDF0000000036512100245142137FFFFFB75D7BD900000000000000246C844E13
K = GF(p)
a = K(0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)
b = K(0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002)
E = EllipticCurve(K, (a, b))
G = E(0x23FFFFFFFFFFFEE00000000000036000000241AFFB7FFFFFF275E0024000001B1440000D94482DF27FFFC9AEDF0000000036512100245142137FFFFFB75D7BD900000000000000246C844E12, 0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001)
E.set_order(0x23FFFFFFFFFFFEE00000000000036000000241AFFB7FFFFFF275E0024000001B1440000D9447CDF27FFFC9AEE08000000036511F8024513F107FFFFFB75D81DF00000000000000246C7E420D * 0x01)

PARI/GP

p = 0x23FFFFFFFFFFFEE00000000000036000000241AFFB7FFFFFF275E0024000001B1440000D94482DF27FFFC9AEDF0000000036512100245142137FFFFFB75D7BD900000000000000246C844E13
a = Mod(0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000, p)
b = Mod(0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002, p)
E = ellinit([a, b])
E[16][1] = 0x23FFFFFFFFFFFEE00000000000036000000241AFFB7FFFFFF275E0024000001B1440000D9447CDF27FFFC9AEE08000000036511F8024513F107FFFFFB75D81DF00000000000000246C7E420D * 0x01
G = [Mod(0x23FFFFFFFFFFFEE00000000000036000000241AFFB7FFFFFF275E0024000001B1440000D94482DF27FFFC9AEDF0000000036512100245142137FFFFFB75D7BD900000000000000246C844E12, p), Mod(0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001, p)]

JSON

{
  "name": "bn606",
  "desc": "",
  "form": "Weierstrass",
  "field": {
    "type": "Prime",
    "p": "0x23FFFFFFFFFFFEE00000000000036000000241AFFB7FFFFFF275E0024000001B1440000D94482DF27FFFC9AEDF0000000036512100245142137FFFFFB75D7BD900000000000000246C844E13",
    "bits": 606
  },
  "params": {
    "a": {
      "raw": "0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
    },
    "b": {
      "raw": "0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002"
    }
  },
  "generator": {
    "x": {
      "raw": "0x23FFFFFFFFFFFEE00000000000036000000241AFFB7FFFFFF275E0024000001B1440000D94482DF27FFFC9AEDF0000000036512100245142137FFFFFB75D7BD900000000000000246C844E12"
    },
    "y": {
      "raw": "0x00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001"
    }
  },
  "order": "0x23FFFFFFFFFFFEE00000000000036000000241AFFB7FFFFFF275E0024000001B1440000D9447CDF27FFFC9AEE08000000036511F8024513F107FFFFFB75D81DF00000000000000246C7E420D",
  "cofactor": "0x01",
  "characteristics": {
    "j_invariant": "0",
    "discriminant": "149382560479715729921650870888843346324510370210262391936546251975130529782979972747938509514543700633492700155237654428326390908646123885612873792268661751975617273279725264282339155",
    "trace_of_frobenius": "12222215858006915839141401255556695821975177558367937484927312121315564820050836996405726215"
  }
}