# Tagged Questions

**8**

votes

**1**answer

533 views

### what exactly is the moduli functor for classifying elliptic curves with (full) level N structure?

So, when people say, "the moduli problem of classifying elliptic curves over $\mathbb{C}$ with level $N$ structure", there are usually two associated functors I've seen:
$P_N : ...

**6**

votes

**1**answer

1k views

### Modular Curves as Moduli Spaces of Elliptic Curves

Hi,
Is the modular curve defined as the quotient of the upper half-plane by an arithmetic group $ \Gamma $ always a moduli space of elliptic curves with extra structure? I know this is true for $ ...