Base field 3.3.169.1
Generator \(w\), with minimal polynomial \(x^{3} - x^{2} - 4x - 1\); narrow class number \(1\) and class number \(1\).
Form
Weight: | $[2, 2, 2]$ |
Level: | $[31,31,w^{2} - 5]$ |
Dimension: | $1$ |
CM: | no |
Base change: | no |
Newspace dimension: | $3$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
Norm | Prime | Eigenvalue |
---|---|---|
5 | $[5, 5, -w^{2} + 2w + 3]$ | $\phantom{-}1$ |
5 | $[5, 5, -w^{2} + w + 2]$ | $\phantom{-}1$ |
5 | $[5, 5, -w + 1]$ | $\phantom{-}1$ |
8 | $[8, 2, 2]$ | $-1$ |
13 | $[13, 13, -w^{2} + 3]$ | $-1$ |
27 | $[27, 3, 3]$ | $\phantom{-}8$ |
31 | $[31, 31, -2w^{2} + 3w + 3]$ | $\phantom{-}2$ |
31 | $[31, 31, -w^{2} + 5]$ | $\phantom{-}1$ |
31 | $[31, 31, -w^{2} + 3w + 4]$ | $\phantom{-}2$ |
47 | $[47, 47, 2w - 3]$ | $-2$ |
47 | $[47, 47, 2w^{2} - 4w - 7]$ | $-12$ |
47 | $[47, 47, 2w^{2} - 2w - 3]$ | $\phantom{-}8$ |
53 | $[53, 53, 3w^{2} - 4w - 8]$ | $-11$ |
53 | $[53, 53, 4w^{2} - 6w - 11]$ | $-1$ |
53 | $[53, 53, 3w^{2} - 5w - 6]$ | $\phantom{-}9$ |
73 | $[73, 73, w^{2} - 4w - 4]$ | $-11$ |
73 | $[73, 73, 2w^{2} - w - 8]$ | $-11$ |
73 | $[73, 73, 3w^{2} - 5w - 5]$ | $\phantom{-}9$ |
79 | $[79, 79, -3w^{2} + 5w + 4]$ | $\phantom{-}10$ |
79 | $[79, 79, 2w^{2} - w - 9]$ | $-10$ |
Atkin-Lehner eigenvalues
Norm | Prime | Eigenvalue |
---|---|---|
$31$ | $[31,31,w^{2} - 5]$ | $-1$ |