inside the moduli space of curves of genus 2 with 2 marked points, the loci of curves admitting a map to p1 of degree d totally ramified at the two marked points have codimension two. in this talk i will show how to compute the classes of the compactifications of such loci in the moduli space of stable curves. i will also discuss the relation with the related work of hain, grushevsky-zakharov, chen-coskun, cavalieri-marcus-wise.