On computing the Newton polygons of plus andminus p-adic L-functions

Let p\≥3 be a prime number and E/ an elliptic curved with good supersingular reduction at p and aₚ(E)=0. In this article, we study the computation of the Newton polygons of Pollack's plus and minus p-adic L-functions attached to E. In particular, we furnish new examples where the assumption GCD in [Forum Math. Sigma, 7:Paper No. e25] holds. We also take this opportunity to rectify two imprecisions in the aforementioned article.