Jacobian fibrations on the singular \(K3\) surface of discriminant 3 (Q329663)

Let \(X/\mathbb{C}\) be the singular \(K3\) surface of discriminant 3. Nishiyama showed that there are 6 classes of Jacobian elliptic fibrations on \(X\). The author gives for each class a Weierstrass equations for one elliptic fibration in this class.NEWLINENEWLINEThe author uses two methods to describe these fibrations. The first method is called the elimination method. To apply this method one needs to know the configuration of two singular fibres from the fibration and then find explicit equations for these two singular fibers. Under a certain additional hypothesis one can use elimination theory to find the Weierstrass equation for the fibration. This yields the equations for example from 4 of the 6 classes. For the other 2 classes he uses Elkies' 2-neighbour step.