We study Mordell-Weil lattices for bielliptic fibrations on rational surfaces. We prove theorems on the structure and give an explicit construction of the fibration with maximal Mordell-Weil rank and moreover determine the structures of such lattices.
Shinya KITAGAWA. "On Mordell-Weil lattices of bielliptic fibrations on rational surfaces." J. Math. Soc. Japan 57 (1) 137 - 155, January, 2005. https://doi.org/10.2969/jmsj/1160745818