# Hurwitz spaces and moduli spaces of marked elliptic curves

I would like to know if the moduli space $\mathcal M_{1,n}$ of genus $1$ curves with $n$ marked points can be realized as a Hurwitz space ?

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Thanks for your answer. Your guess (that I really want $M_{1,n}$ to be a moduli space of branched covers of P^1) is right. I was actually looking at arxiv.org/pdf/0802.0388 (most specifically Sections 8 and 9). My guess would have been that in type $A_n$, the Jacobi orbit space should be a moduli space of elliptic curves with marked points... but in the end the author claims that it is a Hurwitz space (in the restricted sens). – DamienC Feb 27 '11 at 21:34