# Properties

 Base field 3.3.940.1 Weight [2, 2, 2] Level norm 8 Level $[8, 4, -w^{2} + w + 8]$ Label 3.3.940.1-8.2-b Dimension 1 CM no Base change no

# Related objects

## Base field 3.3.940.1

Generator $$w$$, with minimal polynomial $$x^{3} - 7x - 4$$; narrow class number $$1$$ and class number $$1$$.

## Form

 Weight [2, 2, 2] Level $[8, 4, -w^{2} + w + 8]$ Label 3.3.940.1-8.2-b Dimension 1 Is CM no Is base change no Parent newspace dimension 2

## Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, -w - 2]$ $\phantom{-}0$
2 $[2, 2, -w - 1]$ $-1$
5 $[5, 5, -w^{2} + w + 7]$ $-3$
5 $[5, 5, -w^{2} + w + 5]$ $\phantom{-}0$
17 $[17, 17, -w^{2} + 3w + 1]$ $\phantom{-}6$
23 $[23, 23, -w^{2} + w + 3]$ $\phantom{-}3$
27 $[27, 3, 3]$ $\phantom{-}7$
29 $[29, 29, -w^{2} + 3w - 1]$ $-9$
37 $[37, 37, w^{2} + w + 1]$ $-4$
41 $[41, 41, w^{2} - w - 9]$ $\phantom{-}6$
43 $[43, 43, -3w^{2} + 3w + 17]$ $-4$
47 $[47, 47, 2w^{2} - 2w - 13]$ $\phantom{-}6$
47 $[47, 47, -2w + 5]$ $-6$
53 $[53, 53, 3w^{2} - w - 19]$ $\phantom{-}9$
59 $[59, 59, 2w - 1]$ $\phantom{-}3$
67 $[67, 67, w^{2} + w - 5]$ $\phantom{-}11$
71 $[71, 71, -3w^{2} + w + 21]$ $\phantom{-}3$
79 $[79, 79, 3w^{2} - w - 23]$ $-1$
89 $[89, 89, 2w^{2} - 4w - 7]$ $-9$
89 $[89, 89, -2w^{2} - 2w + 5]$ $-12$
 Display number of eigenvalues

## Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
2 $[2, 2, -w - 2]$ $-1$
2 $[2, 2, -w - 1]$ $1$