Base field 3.3.1937.1
Generator \(w\), with minimal polynomial \(x^{3} - x^{2} - 8x - 1\); narrow class number \(2\) and class number \(1\).
Form
Weight: | $[2, 2, 2]$ |
Level: | $[15, 15, -w + 4]$ |
Dimension: | $1$ |
CM: | no |
Base change: | no |
Newspace dimension: | $26$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
Norm | Prime | Eigenvalue |
---|---|---|
3 | $[3, 3, -w - 2]$ | $-1$ |
5 | $[5, 5, w + 1]$ | $-1$ |
7 | $[7, 7, w - 3]$ | $\phantom{-}2$ |
8 | $[8, 2, 2]$ | $-3$ |
9 | $[9, 3, w^{2} - 3w - 2]$ | $-1$ |
13 | $[13, 13, w + 3]$ | $\phantom{-}2$ |
13 | $[13, 13, -w + 2]$ | $-1$ |
19 | $[19, 19, -w^{2} + 2w + 4]$ | $-2$ |
23 | $[23, 23, w^{2} - 4w + 1]$ | $-9$ |
25 | $[25, 5, w^{2} - 2w - 1]$ | $\phantom{-}7$ |
31 | $[31, 31, w^{2} - 2w - 9]$ | $\phantom{-}7$ |
37 | $[37, 37, -w^{2} + 3w + 3]$ | $-2$ |
41 | $[41, 41, w^{2} - w - 1]$ | $\phantom{-}12$ |
41 | $[41, 41, w^{2} - w - 5]$ | $-3$ |
41 | $[41, 41, w^{2} - w - 10]$ | $\phantom{-}0$ |
43 | $[43, 43, -2w - 3]$ | $\phantom{-}1$ |
47 | $[47, 47, -w^{2} - w + 4]$ | $-3$ |
49 | $[49, 7, -w^{2} + 5w - 5]$ | $\phantom{-}2$ |
59 | $[59, 59, w^{2} - w - 4]$ | $-3$ |
59 | $[59, 59, w^{2} - 3]$ | $\phantom{-}12$ |
Atkin-Lehner eigenvalues
Norm | Prime | Eigenvalue |
---|---|---|
$3$ | $[3, 3, -w - 2]$ | $1$ |
$5$ | $[5, 5, w + 1]$ | $1$ |