Properties

Label 3.3.1593.1-8.1-b
Base field 3.3.1593.1
Weight $[2, 2, 2]$
Level norm $8$
Level $[8, 2, 2]$
Dimension $1$
CM no
Base change no

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Base field 3.3.1593.1

Generator \(w\), with minimal polynomial \(x^{3} - 9x - 7\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2, 2]$
Level: $[8, 2, 2]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $24$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
3 $[3, 3, w + 2]$ $\phantom{-}1$
5 $[5, 5, w^{2} - 2w - 4]$ $-1$
7 $[7, 7, w]$ $-5$
7 $[7, 7, w + 3]$ $\phantom{-}5$
7 $[7, 7, -w^{2} + 2w + 3]$ $\phantom{-}2$
8 $[8, 2, 2]$ $\phantom{-}1$
13 $[13, 13, w^{2} - 3w - 2]$ $\phantom{-}3$
17 $[17, 17, w - 2]$ $-7$
25 $[25, 5, -w^{2} - w + 3]$ $\phantom{-}6$
29 $[29, 29, w^{2} - 2w - 6]$ $\phantom{-}8$
31 $[31, 31, w^{2} - 5]$ $\phantom{-}1$
37 $[37, 37, -w^{2} - 2w + 2]$ $\phantom{-}2$
41 $[41, 41, w^{2} - 8]$ $-3$
43 $[43, 43, w^{2} - w - 4]$ $\phantom{-}4$
53 $[53, 53, 2w^{2} - 5w - 4]$ $-3$
59 $[59, 59, w^{2} - 3]$ $\phantom{-}8$
59 $[59, 59, w^{2} - 3w - 5]$ $-3$
61 $[61, 61, -w^{2} + 2w + 12]$ $-2$
67 $[67, 67, -2w^{2} + 6w + 3]$ $-4$
71 $[71, 71, w^{2} - w - 11]$ $\phantom{-}5$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$8$ $[8, 2, 2]$ $-1$