Properties

Label 3.3.1229.1-2.1-c
Base field 3.3.1229.1
Weight $[2, 2, 2]$
Level norm $2$
Level $[2, 2, w^{2} + 2w - 2]$
Dimension $1$
CM no
Base change no

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Base field 3.3.1229.1

Generator \(w\), with minimal polynomial \(x^{3} - x^{2} - 7x + 6\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2, 2]$
Level: $[2, 2, w^{2} + 2w - 2]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $6$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, w^{2} + 2w - 2]$ $\phantom{-}1$
3 $[3, 3, -w + 3]$ $\phantom{-}0$
4 $[4, 2, -w^{2} + w + 5]$ $\phantom{-}1$
9 $[9, 3, w^{2} + 2w - 1]$ $\phantom{-}2$
11 $[11, 11, w + 1]$ $-4$
13 $[13, 13, -2w^{2} - 3w + 5]$ $\phantom{-}6$
17 $[17, 17, -2w + 5]$ $-2$
19 $[19, 19, -w^{2} + 5]$ $\phantom{-}8$
23 $[23, 23, -w^{2} + 2w + 1]$ $-4$
29 $[29, 29, 3w^{2} + 6w - 5]$ $\phantom{-}6$
37 $[37, 37, 4w^{2} - 2w - 25]$ $\phantom{-}2$
67 $[67, 67, 2w^{2} + 2w - 7]$ $\phantom{-}12$
67 $[67, 67, -2w^{2} - 5w + 1]$ $-12$
67 $[67, 67, 2w^{2} + 3w - 7]$ $-4$
71 $[71, 71, w - 5]$ $\phantom{-}0$
73 $[73, 73, w^{2} + 2w - 5]$ $\phantom{-}10$
73 $[73, 73, 2w^{2} - w - 11]$ $\phantom{-}2$
73 $[73, 73, -2w - 1]$ $-2$
83 $[83, 83, 4w^{2} - 31]$ $-12$
97 $[97, 97, 2w^{2} + 2w - 5]$ $\phantom{-}2$
Display number of eigenvalues

Atkin-Lehner eigenvalues

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