Base field 3.3.1524.1
Generator \(w\), with minimal polynomial \(x^{3} - x^{2} - 7x + 1\); narrow class number \(1\) and class number \(1\).
Form
Weight: | $[2, 2, 2]$ |
Level: | $[2, 2, -w^{2} + 3w]$ |
Dimension: | $1$ |
CM: | no |
Base change: | no |
Newspace dimension: | $6$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
Norm | Prime | Eigenvalue |
---|---|---|
2 | $[2, 2, -w^{2} + 3w]$ | $\phantom{-}1$ |
3 | $[3, 3, -w^{2} - w + 3]$ | $\phantom{-}1$ |
3 | $[3, 3, w + 2]$ | $-3$ |
7 | $[7, 7, 2w^{2} - 6w - 1]$ | $\phantom{-}4$ |
11 | $[11, 11, -w^{2} + 2w + 4]$ | $-3$ |
17 | $[17, 17, -w^{2} + 4w - 2]$ | $\phantom{-}6$ |
19 | $[19, 19, w^{2} - 6]$ | $\phantom{-}7$ |
19 | $[19, 19, -w^{2} - 3w - 1]$ | $\phantom{-}4$ |
19 | $[19, 19, 3w^{2} - 9w - 1]$ | $-7$ |
41 | $[41, 41, w^{2} - 8]$ | $\phantom{-}3$ |
43 | $[43, 43, -2w^{2} - 3w + 4]$ | $\phantom{-}1$ |
47 | $[47, 47, -2w - 3]$ | $-6$ |
49 | $[49, 7, -9w^{2} + 29w - 3]$ | $\phantom{-}1$ |
67 | $[67, 67, 2w - 3]$ | $\phantom{-}8$ |
71 | $[71, 71, 4w^{2} - 14w + 5]$ | $\phantom{-}6$ |
79 | $[79, 79, w^{2} - 3w - 3]$ | $\phantom{-}10$ |
79 | $[79, 79, -w^{2} + 5w - 5]$ | $-16$ |
79 | $[79, 79, 6w^{2} - 3w - 38]$ | $-8$ |
97 | $[97, 97, 3w^{2} - 10w]$ | $-13$ |
103 | $[103, 103, 3w^{2} - 4w - 24]$ | $-16$ |
Atkin-Lehner eigenvalues
Norm | Prime | Eigenvalue |
---|---|---|
$2$ | $[2, 2, -w^{2} + 3w]$ | $-1$ |