  It is known that all modular forms on SL_2(Z) can be expressed as a rational
function in eta(z), eta(2z) and eta(4z). By utilizing known theorems, and
calculating the order of vanishing, we can compute the eta-quotients for a
given level. Using this count, knowing how many eta-quotients are linearly
independent and using the dimension formula, we can figure out a subspace
spanned by the eta-quotients. In this paper, we primarily focus on the case
where N=p a prime.
