• The point (9,5) satisfies this equation since: y 2 mod p = x 3 + x mod p 25 mod 23 = 729 + 9 mod 23 25 mod 23 = 738 mod 23 2 = 2 The 23 points which satisfy this equation are: (0,0) (1,5) (1,18) (9,5) (9,18) (11,10) (11,13) (13,5) (13,18) (15,3) (15,20)(16,8)(16,15)(17,10)(17,13)(18,10)(18,13)(19,1)(19,22)(20,4)(20,19)(20,19)(21,6)(21,17)(21,17)