Properties

Label 6.6.1997632.1-8.1-b
Base field 6.6.1997632.1
Weight $[2, 2, 2, 2, 2, 2]$
Level norm $8$
Level $[8, 2, w^{4} - 5w^{2} - w + 4]$
Dimension $1$
CM no
Base change no

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Base field 6.6.1997632.1

Generator \(w\), with minimal polynomial \(x^{6} - 8x^{4} + 19x^{2} - 13\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2, 2, 2, 2, 2]$
Level: $[8, 2, w^{4} - 5w^{2} - w + 4]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $8$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
8 $[8, 2, w^{4} - 5w^{2} - w + 4]$ $\phantom{-}1$
13 $[13, 13, w]$ $\phantom{-}1$
13 $[13, 13, -w^{2} + w + 3]$ $\phantom{-}2$
13 $[13, 13, w^{2} + w - 3]$ $-3$
27 $[27, 3, w^{5} - 6w^{3} + w^{2} + 8w - 2]$ $\phantom{-}1$
27 $[27, 3, w^{5} - 6w^{3} - w^{2} + 8w + 2]$ $-4$
29 $[29, 29, w^{4} - 6w^{2} + w + 8]$ $-7$
29 $[29, 29, -w^{4} + 6w^{2} + w - 8]$ $\phantom{-}3$
41 $[41, 41, w^{3} - w^{2} - 3w + 4]$ $-3$
41 $[41, 41, w^{5} + w^{4} - 6w^{3} - 5w^{2} + 8w + 3]$ $-7$
41 $[41, 41, -w^{5} + w^{4} + 6w^{3} - 5w^{2} - 8w + 3]$ $-12$
41 $[41, 41, w^{5} - w^{4} - 6w^{3} + 5w^{2} + 8w - 6]$ $\phantom{-}2$
43 $[43, 43, -w^{4} + 6w^{2} - w - 9]$ $\phantom{-}12$
43 $[43, 43, -w^{4} + 6w^{2} + w - 9]$ $-8$
49 $[49, 7, w^{4} - 5w^{2} + 7]$ $-5$
97 $[97, 97, w^{4} + w^{3} - 5w^{2} - 3w + 4]$ $\phantom{-}1$
97 $[97, 97, w^{4} + w^{3} - 5w^{2} - 3w + 3]$ $-12$
97 $[97, 97, -w^{4} + w^{3} + 5w^{2} - 3w - 3]$ $\phantom{-}8$
97 $[97, 97, -w^{4} + w^{3} + 5w^{2} - 3w - 4]$ $-14$
113 $[113, 113, w^{5} - w^{4} - 6w^{3} + 6w^{2} + 7w - 9]$ $-8$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$8$ $[8, 2, w^{4} - 5w^{2} - w + 4]$ $-1$