Basic properties
Space: | $M_{14}\left(\textrm{Sp}(8,\mathbb{Z})\right)$ |
Type: | Miyawaki lift, cusp form |
Weight: | 14 |
Hecke eigenform: | yes |
Integral Fourier coefficients: | unknown |
Coefficient field
Field: | \(\Q\) |
Degree: | 1 |
Field generator: | $a$ |
Selected eigenvalues $\lambda(l)$ of $T(l)$
$l$ | $\lambda(l)$ |
---|---|
$2$ | $2180874240$ |
Selected Fourier coefficients $c(F)$
\(\det(F)\) | \(F\) | $c(F)$ |
---|---|---|
5 | (2, 2, 2, 2, 1, 0, 0, 1, 0, 1) | $-5$ |
8 | (2, 2, 2, 2, 0, 0, 0, 1, 1, 0) | $28$ |
9 | (2, 2, 2, 2, 1, 0, 0, 0, 0, 1) | $-198$ |
12 | (2, 2, 2, 2, 0, 0, 0, 1, 0, 0) | $288$ |
(2, 2, 2, 4, 1, 1, 0, 1, 0, 0) | $-1752$ | |
13 | (2, 2, 2, 4, 1, 1, 0, 0, 1, 0) | $1039$ |
Select different $\lambda(l)$ and $c(F)$ to display or specify a modulus $\mathfrak{m}$ to reduce them by
$\lambda(l)$ available for $l$ in: | 2 |
$c(F)$ available for $\det(F)$ in: | 4 5 8 9 12 13 16 17 20 25 |
Download
(json file containing all available data)