Properties

Label 3.3.621.1-8.1-c
Base field 3.3.621.1
Weight $[2, 2, 2]$
Level norm $8$
Level $[8, 2, 2]$
Dimension $1$
CM no
Base change no

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Base field 3.3.621.1

Generator \(w\), with minimal polynomial \(x^{3} - 6x - 3\); narrow class number \(1\) and class number \(1\).

Form

Weight: $[2, 2, 2]$
Level: $[8, 2, 2]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $3$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, w + 1]$ $-1$
3 $[3, 3, w]$ $-2$
4 $[4, 2, -w^{2} + w + 5]$ $\phantom{-}1$
7 $[7, 7, -w + 2]$ $\phantom{-}2$
19 $[19, 19, -2w^{2} + w + 10]$ $\phantom{-}8$
23 $[23, 23, -w^{2} + 8]$ $\phantom{-}0$
23 $[23, 23, -w^{2} + 2]$ $\phantom{-}0$
29 $[29, 29, -w^{2} + 2w + 4]$ $-6$
37 $[37, 37, w^{2} - 2w - 8]$ $-4$
41 $[41, 41, 4w^{2} - 3w - 20]$ $\phantom{-}12$
43 $[43, 43, -w - 4]$ $\phantom{-}8$
47 $[47, 47, 2w - 1]$ $-6$
49 $[49, 7, -2w^{2} + 3w + 4]$ $-10$
59 $[59, 59, 2w^{2} - 13]$ $\phantom{-}12$
61 $[61, 61, -3w^{2} + 4w + 10]$ $\phantom{-}8$
67 $[67, 67, 2w^{2} - 2w - 7]$ $-4$
71 $[71, 71, -3w - 4]$ $-6$
79 $[79, 79, 2w^{2} - 3w - 8]$ $-4$
83 $[83, 83, 2w^{2} - w - 14]$ $\phantom{-}6$
83 $[83, 83, -4w^{2} + 3w + 22]$ $\phantom{-}12$
Display number of eigenvalues

Atkin-Lehner eigenvalues

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