j-invariant

Summary

j-invariant is a modular form^[1]. j-invariant draws 210 Wikipedia views per month (modular_form category, ranking #1 of 4).^[2]

Key Facts

• j-invariant's image is recorded as KleinInvariantJ.jpg^[3].
• j-invariant's image is recorded as J-inv-real.jpeg^[4].
• j-invariant's image is recorded as J-inv-phase.jpeg^[5].
• j-invariant's instance of is recorded as modular form^[6].
• j-invariant's instance of is recorded as mathematical concept^[7].
• j-invariant's Freebase ID is recorded as /m/02b6jr^[8].
• j-invariant's definition domain is recorded as upper half-plane^[9].
• j-invariant's defining formula is recorded as j(\tau)=\frac{\left(12\sum_{(m,n)\ne(0,0)}(m+n\tau)^{-4}\right)^3}{\left(\sum_{(m,n)\ne(0,0)}(m+n\tau)^{-4}\right)^3-\frac15\left(\frac72\sum_{(m,n)\ne(0,0)}(m+n\tau)^{-6}\right)^2}^[10].
• j-invariant's MathWorld ID is recorded as j-Function^[11].
• j-invariant's nLab ID is recorded as j-invariant^[12].
• j-invariant's maintained by WikiProject is recorded as WikiProject Mathematics^[13].
• j-invariant's Microsoft Academic ID is recorded as 7514240^[14].
• j-invariant's in defining formula is recorded as j^[15].

Why It Matters

j-invariant draws 210 Wikipedia views per month (modular_form category, ranking #1 of 4).^[2] j-invariant has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.^[16] j-invariant is known by 25 alternative names across languages and contexts.^[17]