Problem 3. [7 points] The elliptic curve modulo p, denoted by Ep, is the set of solutions (x, y) satisfying y^2 ≡ x^3 + ax^2 + bx + c (mod p). Find all solutions to the following elliptic curve. How many solutions points are there?
E5: y^2 ≡ x^3 + 1 (mod 5)