Properties

Label 3.3.1944.1-3.1-a
Base field 3.3.1944.1
Weight $[2, 2, 2]$
Level norm $3$
Level $[3, 3, w^{2} - w - 9]$
Dimension $1$
CM no
Base change no

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Base field 3.3.1944.1

Generator \(w\), with minimal polynomial \(x^{3} - 9x - 6\); narrow class number \(1\) and class number \(1\).

Form

Weight: $[2, 2, 2]$
Level: $[3, 3, w^{2} - w - 9]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $14$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, -w^{2} + 2w + 2]$ $-1$
2 $[2, 2, w + 1]$ $\phantom{-}0$
3 $[3, 3, w^{2} - w - 9]$ $-1$
7 $[7, 7, w^{2} - w - 7]$ $-2$
11 $[11, 11, w^{2} - w - 1]$ $\phantom{-}0$
13 $[13, 13, -2w - 1]$ $\phantom{-}6$
17 $[17, 17, -2w^{2} + 6w + 5]$ $-8$
31 $[31, 31, -2w^{2} + 2w + 19]$ $\phantom{-}4$
37 $[37, 37, 2w^{2} - 13]$ $-6$
41 $[41, 41, w^{2} - w - 5]$ $-4$
43 $[43, 43, 2w^{2} - 2w - 17]$ $-2$
43 $[43, 43, -2w + 7]$ $\phantom{-}4$
43 $[43, 43, 12w^{2} - 8w - 101]$ $\phantom{-}2$
49 $[49, 7, w^{2} + w - 1]$ $\phantom{-}6$
59 $[59, 59, -w^{2} + w + 11]$ $\phantom{-}0$
61 $[61, 61, -w^{2} - w - 1]$ $\phantom{-}6$
79 $[79, 79, -2w^{2} + 4w + 7]$ $-4$
83 $[83, 83, 2w - 1]$ $-16$
89 $[89, 89, 5w^{2} - 3w - 43]$ $\phantom{-}2$
103 $[103, 103, -2w + 5]$ $\phantom{-}14$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$3$ $[3, 3, w^{2} - w - 9]$ $1$