Rational elliptic surface
= Rational elliptic surface
{title2=$E(1)$}
{wiki}
Blowing up the nine base points of a general <pencil of plane cubics> produces the rational elliptic surface
$$
E(1)=\{([z],[s:t])\in\operatorname{Bl}_B\mathbb{CP}^2\times\mathbb{CP}^1:sF_0(z)+tF_1(z)=0\}.
$$