| Name |
sect571r1
(nist/B-571, secg/sect571r1, x962/ansit571r1)
|
| Category |
secg
|
| Field | Binary |
| Field polynomial | $x^{571} + x^{10} + x^{5} + x^{2} + 1$ |
| Field bits | 571 |
| Form | Weierstrass $y^2 = x^3 + ax + b$ |
| Param $a$ | 1 |
| Param $b$ | 2853329245261343535560086964181551296889298776106832980891560850944180011701123307905326019642652653533003482753023669016842884108172514870944140611113679225347419720217210 |
| Generator $x$ | 2909726711393360238997027325079981094903293083416277207163191533186952179846948691035435651273252692731060457249729605513129233502615507099213961913121214831097565254790425 |
| Generator $y$ | 3366174731810125753087813209708676894833150358595778752145226712858102783612277607950241452090192525005883890170639174605150394168627448707126811848455102037101825665712475 |
| Simulation seed | 243353481614441747978805668932396744820166697744 |
| Order | 3864537523017258344695351890931987344298927329706434998657235251451519142289560424536143999389415773083133881121926944486246872462816813070234528288303332411393191105285703 |
| Cofactor | 2 |
| $j$-invariant | 4214501753546941913223695905024629172637342244349568219783929342383426637975668846684512012478218604779111370893214803288669006084397110899225485839234972840008396689070376 |
| Trace $t$ | 99534385013609758659469819150465382236412396452349171016760770327496674607579419075443 |