Latex merges multiple formulas and centers them

Requirements: 1: Center alignment of multiple formulas 2: Only one number for multiple formula combinations.
The result is similar to this one:

code: using gathered can.

\begin{
    
    equation}
	\begin{
    
    gathered}
		\vspace{
    
    0.6em}
		{
    
    E} = {
    
    A(I)}\\
		\vspace{
    
    0.6em}
		{
    
    F} = Conv(\sum_{
    
    i=1}^3{
    
    M_i}) \\
		{
    
    F} = Conv_1(\sum_{
    
    i=1}^3{
    
    M_i})
	\end{
    
    gathered}
\end{
    
    equation}

Pitfalls:
1: aligned does not work, it will be left aligned.
2: split does not work, it will be right aligned.
3: Gather does not work, and cannot be embedded in the equation.
4: amsmath has been added, but using center does not work.