j-invariant (Q1995)

modular function of weight zero defined on the upper half-plane of complex numbers

modular j-invariant
J-invariant function

Language	Label	Description	Also known as
English	j-invariant	modular function of weight zero defined on the upper half-plane of complex numbers	modular j-invariant J-invariant function

Statements

defining formula

j(\tau )={\frac {\left(12\sum _{(m,n)\neq (0,0)}(m+n\tau )^{-4}\right)^{3}}{\left(\sum _{(m,n)\neq (0,0)}(m+n\tau )^{-4}\right)^{3}-{\frac {1}{5}}\left({\frac {7}{2}}\sum _{(m,n)\neq (0,0)}(m+n\tau )^{-6}\right)^{2}}}

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instance of

modular form

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in defining formula

j

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KleinInvariantJ.jpg
947 × 704; 324 KB

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J-inv-real.jpeg
600 × 600; 70 KB

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J-inv-phase.jpeg
600 × 600; 92 KB

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Identifiers

Wikidata QID

Q287419

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Freebase ID

/m/02b6jr

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28 October 2013

j-Function

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imported from Wikimedia project

German Wikipedia

Microsoft Academic ID

7514240

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nLab ID

j-invariant

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j-invariant (Q1995)

Statements

Identifiers

Sitelinks

mathematics(0 entries)