is there a way for search y coordinate square modulo p
Why would you want that? Imagine you are searching for y coordinates.
Example :
X=
0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798
Y=
0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8
Private key= 0x1
X= 0xbcace2e99da01887ab0102b696902325872844067f15e98da7bba04400b88fcb
Y=
0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8
Private key=
0x5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72
X=
0xc994b69768832bcbff5e9ab39ae8d1d3763bbf1e531bed98fe51de5ee84f50fb
Y=
0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8
Private key=
0xac9c52b33fa3cf1f5ad9e3fd77ed9ba4a880b9fc8ec739c2e0cfc810b51283ce
They all have the same y coordinates, are you sure you want to search for them?