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- En teoria de nombres, la corba modular clàssica és una corba algebraica plana irreductible definida per una equació Φn(x, y)=0, on per al j-invariant j(τ;), x=j(n τ), y=j(τ) és un punt en la corba. La corba s'anomena a vegades X0(n), tanmateix sovint això es fa servir per a la corba algebraica abstracta per a la qual hi ha diversos models. Un objecte relacionat és el polinomi modular clàssic, un polinomi d'una variable definida com a Φn(x, x). (ca)
- In number theory, the classical modular curve is an irreducible plane algebraic curve given by an equation Φn(x, y) = 0, such that (x, y) = (j(nτ), j(τ)) is a point on the curve. Here j(τ) denotes the j-invariant. The curve is sometimes called X0(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 Φn(x, x). It is important to note that the classical modular curves are part of the larger theory of modular curves. In particular it has another expression as a compactified quotient of the complex upper half-plane H. (en)
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- En teoria de nombres, la corba modular clàssica és una corba algebraica plana irreductible definida per una equació Φn(x, y)=0, on per al j-invariant j(τ;), x=j(n τ), y=j(τ) és un punt en la corba. La corba s'anomena a vegades X0(n), tanmateix sovint això es fa servir per a la corba algebraica abstracta per a la qual hi ha diversos models. Un objecte relacionat és el polinomi modular clàssic, un polinomi d'una variable definida com a Φn(x, x). (ca)
- In number theory, the classical modular curve is an irreducible plane algebraic curve given by an equation Φn(x, y) = 0, such that (x, y) = (j(nτ), j(τ)) is a point on the curve. Here j(τ) denotes the j-invariant. The curve is sometimes called X0(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 Φn(x, x). (en)
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- Corba modular clàssica (ca)
- Classical modular curve (en)
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