  We construct a standard birational model (a model that has Gorenstein
canonical singularities) for the three-dimensional del Pezzo fibrations ${ \pi
\colon X \longrightarrow C }$ of degree $1$ and relative Picard number $1$. We
also embed the standard model into the relative weighted projective space
$\mathbb{P}_C (1,1,2,3)$. Our construction works in the $G$-equivariant
category where $G$ is a finite group.
