Base field 3.3.985.1
Generator \(w\), with minimal polynomial \(x^{3} - x^{2} - 6x + 1\); narrow class number \(2\) and class number \(1\).
Form
Weight: | $[2, 2, 2]$ |
Level: | $[25, 5, w^{2} - 6]$ |
Dimension: | $1$ |
CM: | no |
Base change: | no |
Newspace dimension: | $18$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
Norm | Prime | Eigenvalue |
---|---|---|
5 | $[5, 5, w + 1]$ | $\phantom{-}1$ |
5 | $[5, 5, w - 1]$ | $-1$ |
7 | $[7, 7, -w + 2]$ | $\phantom{-}0$ |
8 | $[8, 2, 2]$ | $\phantom{-}1$ |
11 | $[11, 11, -w^{2} + 2w + 2]$ | $\phantom{-}0$ |
17 | $[17, 17, -w - 3]$ | $-6$ |
17 | $[17, 17, -w^{2} + 2w + 1]$ | $\phantom{-}2$ |
17 | $[17, 17, -w^{2} + w + 4]$ | $\phantom{-}6$ |
23 | $[23, 23, -w^{2} + 3]$ | $\phantom{-}4$ |
27 | $[27, 3, -3]$ | $\phantom{-}4$ |
29 | $[29, 29, w^{2} - w - 8]$ | $\phantom{-}6$ |
29 | $[29, 29, w^{2} - w - 3]$ | $\phantom{-}6$ |
29 | $[29, 29, w^{2} - w - 1]$ | $\phantom{-}2$ |
31 | $[31, 31, w^{2} - 2]$ | $\phantom{-}4$ |
37 | $[37, 37, 2w - 5]$ | $\phantom{-}2$ |
43 | $[43, 43, w^{2} - 2w - 5]$ | $\phantom{-}12$ |
47 | $[47, 47, w^{2} - 3w - 2]$ | $\phantom{-}0$ |
49 | $[49, 7, w^{2} + w - 4]$ | $\phantom{-}10$ |
53 | $[53, 53, w^{2} - 2w - 6]$ | $-10$ |
71 | $[71, 71, w - 5]$ | $-8$ |
Atkin-Lehner eigenvalues
Norm | Prime | Eigenvalue |
---|---|---|
$5$ | $[5, 5, w + 1]$ | $-1$ |
$5$ | $[5, 5, w - 1]$ | $1$ |