Identification
Hodge diamond
1
0 0
0 2 0
0 4 4 0
0 2 0
0 0
1
0 0
0 2 0
0 4 4 0
0 2 0
0 0
1
Anticanonical bundle
 index
 1
 $\dim\mathrm{H}^0(X,\omega_X^\vee)$
 14
 $\mathrm{K}_X$ very ample?
 yes
 $\mathrm{K}_X$ basepoint free?
 yes
 hyperelliptic
 no
 trigonal
 no
Birational geometry
Deformation theory
 number of moduli

 9
 8
$\mathrm{Aut}^0(X)$  $\dim\mathrm{Aut}^0(X)$  number of moduli 

$0$  0  9 