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:x=j(n τ), y=j(τ)
is a point on the curve. The curve is sometimes called X<sub>0</sub>(n), though often that is used for the abstract [[algebraic curve]] for which there exist various models. A related object is the '''classical modular polynomial''', a polynomial in one variable defined as Φ<sub>n</sub>(x, x).
== Geometry of the modular curve ==
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