Properties

Label 3.3.1076.1-16.1-a
Base field 3.3.1076.1
Weight $[2, 2, 2]$
Level norm $16$
Level $[16, 4, -2w - 4]$
Dimension $1$
CM no
Base change no

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Base field 3.3.1076.1

Generator \(w\), with minimal polynomial \(x^{3} - 8x - 6\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2, 2]$
Level: $[16, 4, -2w - 4]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $12$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, -w - 2]$ $\phantom{-}0$
3 $[3, 3, -w^{2} + 2w + 3]$ $\phantom{-}2$
7 $[7, 7, -2w^{2} + 5w + 5]$ $\phantom{-}0$
9 $[9, 3, -w^{2} + 5]$ $\phantom{-}2$
13 $[13, 13, -w^{2} + 3w + 1]$ $-4$
13 $[13, 13, 2w + 5]$ $-6$
13 $[13, 13, w - 1]$ $\phantom{-}0$
17 $[17, 17, w^{2} - w - 5]$ $-6$
19 $[19, 19, w^{2} - 2w - 5]$ $\phantom{-}0$
29 $[29, 29, w^{2} - 7]$ $\phantom{-}0$
31 $[31, 31, 2w^{2} - 3w - 11]$ $\phantom{-}0$
49 $[49, 7, -2w^{2} - 4w + 1]$ $\phantom{-}6$
59 $[59, 59, w^{2} - 2w - 11]$ $-12$
71 $[71, 71, -2w + 7]$ $\phantom{-}0$
73 $[73, 73, w^{2} - 3w - 13]$ $\phantom{-}2$
73 $[73, 73, 2w^{2} - 2w - 17]$ $-6$
73 $[73, 73, -w^{2} - 4w - 5]$ $-6$
79 $[79, 79, 2w - 1]$ $\phantom{-}12$
79 $[79, 79, w^{2} + w - 5]$ $\phantom{-}8$
79 $[79, 79, w - 5]$ $\phantom{-}0$
Display number of eigenvalues

Atkin-Lehner eigenvalues

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