Base field 3.3.1940.1
Generator \(w\), with minimal polynomial \(x^{3} - 8x - 2\); narrow class number \(2\) and class number \(1\).
Form
Weight: | $[2, 2, 2]$ |
Level: | $[6, 6, -w - 2]$ |
Dimension: | $1$ |
CM: | no |
Base change: | no |
Newspace dimension: | $8$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
Norm | Prime | Eigenvalue |
---|---|---|
2 | $[2, 2, -w]$ | $\phantom{-}1$ |
3 | $[3, 3, w^{2} - 7]$ | $\phantom{-}1$ |
5 | $[5, 5, w + 1]$ | $-1$ |
5 | $[5, 5, -w - 3]$ | $-1$ |
9 | $[9, 3, w^{2} - 2w - 1]$ | $-4$ |
17 | $[17, 17, -2w^{2} + 15]$ | $\phantom{-}4$ |
17 | $[17, 17, 3w + 1]$ | $-3$ |
17 | $[17, 17, -w^{2} + w + 5]$ | $-3$ |
19 | $[19, 19, -2w^{2} + w + 15]$ | $-1$ |
29 | $[29, 29, w^{2} - w - 1]$ | $\phantom{-}2$ |
41 | $[41, 41, w^{2} - 5]$ | $\phantom{-}0$ |
43 | $[43, 43, w^{2} + w - 3]$ | $-5$ |
47 | $[47, 47, 2w - 1]$ | $\phantom{-}6$ |
53 | $[53, 53, -2w - 3]$ | $-9$ |
59 | $[59, 59, w^{2} - w - 11]$ | $\phantom{-}4$ |
71 | $[71, 71, w^{2} - 3]$ | $\phantom{-}9$ |
73 | $[73, 73, 6w^{2} - 2w - 47]$ | $\phantom{-}4$ |
83 | $[83, 83, w^{2} - 4w + 1]$ | $-14$ |
83 | $[83, 83, 3w^{2} - 25]$ | $\phantom{-}14$ |
83 | $[83, 83, w - 5]$ | $-14$ |
Atkin-Lehner eigenvalues
Norm | Prime | Eigenvalue |
---|---|---|
$2$ | $[2, 2, -w]$ | $-1$ |
$3$ | $[3, 3, w^{2} - 7]$ | $-1$ |