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