$1.$ Demonstrate the Diffie$-$Hellman key exchange using an elliptic curve

y$2$ x$3+$ax$+9($mod p$),$ where p$=8011.$ Use XA $=119,$ XB $=121.$ Find a perfect generator point or a generator point with the highest order if a perfect generator cannot be found for the first $30$ points. List the values of the order of both the elliptic curve and generator point.