Properties

Label 3.3.1076.1-9.2-a
Base field 3.3.1076.1
Weight $[2, 2, 2]$
Level norm $9$
Level $[9, 9, -w - 3]$
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: $[9, 9, -w - 3]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $8$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, -w - 2]$ $\phantom{-}0$
3 $[3, 3, -w^{2} + 2w + 3]$ $\phantom{-}0$
7 $[7, 7, -2w^{2} + 5w + 5]$ $\phantom{-}4$
9 $[9, 3, -w^{2} + 5]$ $\phantom{-}2$
13 $[13, 13, -w^{2} + 3w + 1]$ $-2$
13 $[13, 13, 2w + 5]$ $\phantom{-}2$
13 $[13, 13, w - 1]$ $\phantom{-}4$
17 $[17, 17, w^{2} - w - 5]$ $\phantom{-}6$
19 $[19, 19, w^{2} - 2w - 5]$ $\phantom{-}2$
29 $[29, 29, w^{2} - 7]$ $\phantom{-}0$
31 $[31, 31, 2w^{2} - 3w - 11]$ $-10$
49 $[49, 7, -2w^{2} - 4w + 1]$ $\phantom{-}4$
59 $[59, 59, w^{2} - 2w - 11]$ $\phantom{-}6$
71 $[71, 71, -2w + 7]$ $\phantom{-}12$
73 $[73, 73, w^{2} - 3w - 13]$ $-10$
73 $[73, 73, 2w^{2} - 2w - 17]$ $\phantom{-}2$
73 $[73, 73, -w^{2} - 4w - 5]$ $\phantom{-}14$
79 $[79, 79, 2w - 1]$ $\phantom{-}16$
79 $[79, 79, w^{2} + w - 5]$ $-8$
79 $[79, 79, w - 5]$ $-10$
Display number of eigenvalues

Atkin-Lehner eigenvalues

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