| Name |
P-521
(nist/P-521, secg/secp521r1, x962/ansip521r1)
|
| Category |
nist
|
| Field | Prime (6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057151) |
| Field bits | 521 |
| Form | Weierstrass $y^2 = x^3 + ax + b$ |
| Param $a$ | 6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057148 |
| Param $b$ | 1093849038073734274511112390766805569936207598951683748994586394495953116150735016013708737573759623248592132296706313309438452531591012912142327488478985984 |
| Generator $x$ | 2661740802050217063228768716723360960729859168756973147706671368418802944996427808491545080627771902352094241225065558662157113545570916814161637315895999846 |
| Generator $y$ | 3757180025770020463545507224491183603594455134769762486694567779615544477440556316691234405012945539562144444537289428522585666729196580810124344277578376784 |
| Simulation seed | 1191005445398260649615595456645891205364046259386 |
| Order | 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005449 |
| Cofactor | 1 |
| $j$-invariant | 3619090631887053412807272747807643016060282478111249168973675223587770705025281286979867546071268566958111997954788345609183745222693618155278831649044785613 |
| Trace $t$ | 657877501894328237357444332315020117536923257219387276263472201219398408051703 |
| Embedding degree $k$ | 1716199415032652428745475199770348304317358825035826352348615864796385795849413848561264436583304299383240999092840830278466192153110095085093202223176751362 |
| CM discriminant | -27026387833023717006394879558010661621480271913819890964334078415620839627602227167727248383966407215164608200560037642817351611358118291378068537384139028395 |