Base field 3.3.1825.1
Generator \(w\), with minimal polynomial \(x^{3} - x^{2} - 8x + 7\); narrow class number \(2\) and class number \(1\).
Form
Weight: | $[2, 2, 2]$ |
Level: | $[27, 3, 3]$ |
Dimension: | $1$ |
CM: | no |
Base change: | no |
Newspace dimension: | $80$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
Norm | Prime | Eigenvalue |
---|---|---|
5 | $[5, 5, -w + 2]$ | $\phantom{-}0$ |
7 | $[7, 7, w]$ | $-3$ |
8 | $[8, 2, 2]$ | $-4$ |
11 | $[11, 11, w + 2]$ | $\phantom{-}2$ |
13 | $[13, 13, w + 1]$ | $\phantom{-}1$ |
17 | $[17, 17, -w^{2} - w + 4]$ | $\phantom{-}2$ |
23 | $[23, 23, -w^{2} + 6]$ | $\phantom{-}6$ |
23 | $[23, 23, -w^{2} - w + 3]$ | $\phantom{-}6$ |
23 | $[23, 23, -w + 4]$ | $\phantom{-}6$ |
27 | $[27, 3, 3]$ | $-1$ |
29 | $[29, 29, -w^{2} - 2w + 4]$ | $\phantom{-}10$ |
31 | $[31, 31, w^{2} - 10]$ | $-3$ |
41 | $[41, 41, w + 4]$ | $-8$ |
41 | $[41, 41, w^{2} - 5]$ | $-8$ |
41 | $[41, 41, -2w - 5]$ | $-8$ |
43 | $[43, 43, w^{2} - w - 4]$ | $\phantom{-}1$ |
47 | $[47, 47, w^{2} - w - 9]$ | $\phantom{-}2$ |
49 | $[49, 7, w^{2} - w - 8]$ | $-5$ |
53 | $[53, 53, 2w^{2} + w - 12]$ | $-4$ |
59 | $[59, 59, w^{2} - 3]$ | $-10$ |
Atkin-Lehner eigenvalues
Norm | Prime | Eigenvalue |
---|---|---|
$27$ | $[27, 3, 3]$ | $1$ |