Could be alpine goldenrod (Solidago cutleri) but probably Rand's goldenrod (Solidago simplex ? not sure, I have my book at home). Rand's is taller and has more leaves climbing up the stem. Alpine goldenrod is supposed to have fewer leaves up the stem (don't count the basal leaves), less than 7 I think.
Alpine goldenrod is on the NH and ME rare lists, not sure of other states.