We find a new relation among right-handed Dehn twists in the mapping class group of a k-holed torus for 4≤k≤9. This relation induces an elliptic Lefschetz pencil structure on the four-manifold \cp #(9-k) \cpb with k base points and twelve singular fibers. By blowing up the base points we get an elliptic Lefschetz fibration on the complex elliptic surface E(1)= \cp #9 \cpb →S2 with twelve singular fibers and k disjoint sections. More importantly we can locate these k sections in a Kirby diagram of the induced elliptic Lefschetz fibration. The n-th power of our relation gives an explicit description for k disjoint sections of the induced elliptic fibration on the complex elliptic surface E(n)→S2 for n≥1.