Properties

Label 3.3.756.1-12.1-a
Base field 3.3.756.1
Weight $[2, 2, 2]$
Level norm $12$
Level $[12, 6, w^{2} - 4]$
Dimension $1$
CM no
Base change no

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Base field 3.3.756.1

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

Form

Weight: $[2, 2, 2]$
Level: $[12, 6, w^{2} - 4]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $2$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, w]$ $\phantom{-}0$
3 $[3, 3, w + 1]$ $-1$
7 $[7, 7, -w + 3]$ $\phantom{-}0$
7 $[7, 7, w - 1]$ $\phantom{-}0$
11 $[11, 11, -w - 3]$ $\phantom{-}4$
13 $[13, 13, -w^{2} + w + 3]$ $\phantom{-}2$
19 $[19, 19, -w^{2} - w + 1]$ $\phantom{-}4$
23 $[23, 23, -w^{2} + 3]$ $\phantom{-}8$
29 $[29, 29, 2w + 3]$ $\phantom{-}2$
31 $[31, 31, 2w^{2} - 2w - 9]$ $\phantom{-}0$
53 $[53, 53, -w^{2} - 1]$ $\phantom{-}6$
61 $[61, 61, 2w - 3]$ $\phantom{-}2$
67 $[67, 67, w^{2} - 2w - 5]$ $-4$
67 $[67, 67, -w^{2} + w + 9]$ $-12$
67 $[67, 67, -w^{2} + 3w + 3]$ $-4$
71 $[71, 71, w^{2} + w - 7]$ $\phantom{-}0$
73 $[73, 73, -2w^{2} + 3w + 7]$ $\phantom{-}10$
89 $[89, 89, w^{2} - 2w - 7]$ $\phantom{-}6$
89 $[89, 89, -2w^{2} + 1]$ $-6$
89 $[89, 89, -3w^{2} + 19]$ $\phantom{-}6$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$2$ $[2, 2, w]$ $-1$
$3$ $[3, 3, w + 1]$ $1$