Base field 4.4.13824.1
Generator \(w\), with minimal polynomial \(x^4 - 6 x^2 + 6\); narrow class number \(2\) and class number \(1\).
Form
| Weight: | $[2, 2, 2, 2]$ |
| Level: | $[18, 6, -w^3 + w^2 + 3 w]$ |
| Dimension: | $1$ |
| CM: | no |
| Base change: | no |
| Newspace dimension: | $8$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
| Norm | Prime | Eigenvalue |
|---|---|---|
| 2 | $[2, 2, -w^2 + w + 2]$ | $\phantom{-}1$ |
| 3 | $[3, 3, w^2 - w - 3]$ | $\phantom{-}0$ |
| 11 | $[11, 11, -w^2 + w + 1]$ | $\phantom{-}3$ |
| 11 | $[11, 11, -w^2 - w + 1]$ | $-6$ |
| 13 | $[13, 13, w^3 - 4 w + 1]$ | $\phantom{-}2$ |
| 13 | $[13, 13, -w^3 + 4 w + 1]$ | $-7$ |
| 25 | $[25, 5, -w^2 - 2 w + 1]$ | $-4$ |
| 25 | $[25, 5, w^2 - 2 w - 1]$ | $-4$ |
| 37 | $[37, 37, w^3 - 3 w - 1]$ | $\phantom{-}8$ |
| 37 | $[37, 37, w^3 - 3 w + 1]$ | $-1$ |
| 59 | $[59, 59, w^2 - w - 5]$ | $-3$ |
| 59 | $[59, 59, -w^2 - w + 5]$ | $\phantom{-}6$ |
| 61 | $[61, 61, -w^3 + w^2 + 4 w - 7]$ | $\phantom{-}14$ |
| 61 | $[61, 61, w^3 - 3 w^2 - 6 w + 11]$ | $\phantom{-}5$ |
| 73 | $[73, 73, 2 w^2 - w - 5]$ | $-7$ |
| 73 | $[73, 73, 2 w - 1]$ | $-1$ |
| 73 | $[73, 73, -2 w - 1]$ | $-10$ |
| 73 | $[73, 73, 2 w^2 + w - 5]$ | $-7$ |
| 83 | $[83, 83, 2 w^3 + w^2 - 9 w - 7]$ | $-6$ |
| 83 | $[83, 83, -2 w^3 + w^2 + 7 w + 1]$ | $-15$ |
Atkin-Lehner eigenvalues
| Norm | Prime | Eigenvalue |
|---|---|---|
| $2$ | $[2,2,-w^2+w+2]$ | $-1$ |
| $3$ | $[3,3,w^2-w-3]$ | $1$ |