Base field 3.3.316.1
Generator \(w\), with minimal polynomial \(x^{3} - x^{2} - 4x + 2\); narrow class number \(1\) and class number \(1\).
Form
Weight: | $[2, 2, 2]$ |
Level: | $[16, 16, 2w^{2} - w - 7]$ |
Dimension: | $1$ |
CM: | no |
Base change: | no |
Newspace dimension: | $2$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
Norm | Prime | Eigenvalue |
---|---|---|
2 | $[2, 2, -w]$ | $-1$ |
2 | $[2, 2, w - 1]$ | $\phantom{-}0$ |
11 | $[11, 11, w^{2} - w - 1]$ | $\phantom{-}4$ |
17 | $[17, 17, -w^{2} - w + 3]$ | $\phantom{-}2$ |
19 | $[19, 19, w^{2} - w + 1]$ | $-4$ |
23 | $[23, 23, 2w - 3]$ | $\phantom{-}8$ |
27 | $[27, 3, 3]$ | $\phantom{-}4$ |
29 | $[29, 29, 2w + 1]$ | $-2$ |
31 | $[31, 31, 2w^{2} - 2w - 9]$ | $\phantom{-}0$ |
37 | $[37, 37, 2w^{2} - 2w - 5]$ | $\phantom{-}6$ |
41 | $[41, 41, 2w^{2} - 9]$ | $-6$ |
43 | $[43, 43, w^{2} + w - 5]$ | $-12$ |
43 | $[43, 43, -3w^{2} + w + 15]$ | $\phantom{-}4$ |
43 | $[43, 43, -2w^{2} + 2w + 11]$ | $\phantom{-}4$ |
53 | $[53, 53, w^{2} - w - 7]$ | $-10$ |
61 | $[61, 61, 4w^{2} - 2w - 15]$ | $-2$ |
67 | $[67, 67, -5w^{2} + 3w + 23]$ | $-4$ |
73 | $[73, 73, 2w^{2} - 3]$ | $-6$ |
73 | $[73, 73, -3w^{2} - w + 7]$ | $-6$ |
73 | $[73, 73, -6w^{2} + 4w + 25]$ | $\phantom{-}10$ |
Atkin-Lehner eigenvalues
Norm | Prime | Eigenvalue |
---|---|---|
$2$ | $[2, 2, w - 1]$ | $-1$ |