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Fungrim entry: 36fff2

E12 ⁣(τ)=1691(441E43 ⁣(τ)+250E62 ⁣(τ))E_{12}\!\left(\tau\right) = \frac{1}{691} \left(441 E_{4}^{3}\!\left(\tau\right) + 250 E_{6}^{2}\!\left(\tau\right)\right)
Assumptions:τ∈H\tau \in \mathbb{H}
TeX:
E_{12}\!\left(\tau\right) = \frac{1}{691} \left(441 E_{4}^{3}\!\left(\tau\right) + 250 E_{6}^{2}\!\left(\tau\right)\right)

\tau \in \mathbb{H}
Definitions:
Fungrim symbol Notation Short description
EisensteinEEk ⁣(τ)E_{k}\!\left(\tau\right) Normalized Eisenstein series
Powab{a}^{b} Power
HHH\mathbb{H} Upper complex half-plane
Source code for this entry:
Entry(ID("36fff2"),
    Formula(Equal(EisensteinE(12, tau), Mul(Div(1, 691), Add(Mul(441, Pow(EisensteinE(4, tau), 3)), Mul(250, Pow(EisensteinE(6, tau), 2)))))),
    Variables(tau),
    Assumptions(Element(tau, HH)))

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2021-03-15 19:12:00.328586 UTC