points on elliptical curve

Question

verify that both (2,6) and (0,7) satisfy y^2≡ x^3 + 4x + 20 (mod 29). we need to find whether these points satisfy the given curve .i am not sure exactly as how to proceed with the given problem. any help would be appreciated. Thank-You.

Answer 1

$(2,6)$ means $x = 2, y = 6$. Similarly, $(0, 7)$ means $x = 0$ and $y = 7$.

Therefore, you can just check if $$6^2 \equiv 2^3 + 4 \cdot 2 + 20 \pmod {29}$$ and $$7^2 \equiv 0^3 + 4 \cdot 0 + 20 \pmod {29}$$

are true.