Properties

Label 3.3.1940.1-6.1-c
Base field 3.3.1940.1
Weight $[2, 2, 2]$
Level norm $6$
Level $[6, 6, -w - 2]$
Dimension $1$
CM no
Base change no

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Base field 3.3.1940.1

Generator \(w\), with minimal polynomial \(x^{3} - 8x - 2\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2, 2]$
Level: $[6, 6, -w - 2]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $8$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, -w]$ $\phantom{-}1$
3 $[3, 3, w^{2} - 7]$ $\phantom{-}1$
5 $[5, 5, w + 1]$ $-1$
5 $[5, 5, -w - 3]$ $-1$
9 $[9, 3, w^{2} - 2w - 1]$ $-4$
17 $[17, 17, -2w^{2} + 15]$ $\phantom{-}4$
17 $[17, 17, 3w + 1]$ $-3$
17 $[17, 17, -w^{2} + w + 5]$ $-3$
19 $[19, 19, -2w^{2} + w + 15]$ $-1$
29 $[29, 29, w^{2} - w - 1]$ $\phantom{-}2$
41 $[41, 41, w^{2} - 5]$ $\phantom{-}0$
43 $[43, 43, w^{2} + w - 3]$ $-5$
47 $[47, 47, 2w - 1]$ $\phantom{-}6$
53 $[53, 53, -2w - 3]$ $-9$
59 $[59, 59, w^{2} - w - 11]$ $\phantom{-}4$
71 $[71, 71, w^{2} - 3]$ $\phantom{-}9$
73 $[73, 73, 6w^{2} - 2w - 47]$ $\phantom{-}4$
83 $[83, 83, w^{2} - 4w + 1]$ $-14$
83 $[83, 83, 3w^{2} - 25]$ $\phantom{-}14$
83 $[83, 83, w - 5]$ $-14$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$2$ $[2, 2, -w]$ $-1$
$3$ $[3, 3, w^{2} - 7]$ $-1$