| Name |
secp192r1
(nist/P-192, secg/secp192r1, x962/ansix9p192r1)
|
| Category |
secg
|
| Description | A randomly generated curve. [SEC2v1](https://www.secg.org/SEC2-Ver-1.0.pdf) states 'E was chosen verifiably at random as specified in ANSI X9.62 [1] from the seed'. |
| Field | Prime (6277101735386680763835789423207666416083908700390324961279) |
| Field bits | 192 |
| Form | Weierstrass $y^2 = x^3 + ax + b$ |
| Param $a$ | 6277101735386680763835789423207666416083908700390324961276 |
| Param $b$ | 2455155546008943817740293915197451784769108058161191238065 |
| Generator $x$ | 602046282375688656758213480587526111916698976636884684818 |
| Generator $y$ | 174050332293622031404857552280219410364023488927386650641 |
| Simulation seed | 275585503993527016686210752207080241786546919125 |
| Order | 6277101735386680763835789423176059013767194773182842284081 |
| Cofactor | 1 |
| $j$-invariant | 6234286251230310114240839169629130138801351179850969208331 |
| Trace $t$ | 31607402316713927207482677199 |
| Embedding degree $k$ | 627710173538668076383578942317605901376719477318284228408 |
| CM discriminant | -24109379060336110122544161233113975664949272517896865359515 |