Boston University, Boston, Massachusetts 02215 ; Mount Holyoke College, South Hadley, Massachusetts 01075
Abstract:
We determine the explicit form of the Igusa local zeta function associated to an elliptic curve. The denominator is known to be trivial. Here we determine the possible numerators and classify them according to the Kodaira-Néron classification of the special fibers of elliptic curves as determined by Tate's algorithm.