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Line 8: The curve is sometimes called {{math\|''X''<sub>0</sub>(''n'')}}, though often that notation 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 {{math\|Φ<sub>''n''</sub>(''x'', ''x'')}}. ~~It is important to note that the~~The classical modular curves are part of the larger theory of [[modular curve]]s. In particular it has another expression as a compactified quotient of the complex [[upper half-plane]] {{math\|'''H'''}}. == Geometry of the modular curve ==

Classical modular curve: Difference between revisions