Please help or hints me to solve this question:
Suppose that $E_1: y^2= x^3+2x+5$ and $E_2: y^2= x^3+3x+5$ are two elliptic curve on $\Bbb F_{361}$. Show that #$E_1(\Bbb F_{361})$=#$E_2(\Bbb F_{361})$.
Please help or hints me to solve this question:
Suppose that $E_1: y^2= x^3+2x+5$ and $E_2: y^2= x^3+3x+5$ are two elliptic curve on $\Bbb F_{361}$. Show that #$E_1(\Bbb F_{361})$=#$E_2(\Bbb F_{361})$.
$(7x)^3+3(7x)+5 \equiv x^3+2x+5 \pmod {19}$