Properties

Label 3.3.1257.1-9.2-c
Base field 3.3.1257.1
Weight $[2, 2, 2]$
Level norm $9$
Level $[9, 3, w^{2} + 2w - 2]$
Dimension $1$
CM no
Base change no

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Base field 3.3.1257.1

Generator \(w\), with minimal polynomial \(x^{3} - x^{2} - 8x + 9\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2, 2]$
Level: $[9, 3, w^{2} + 2w - 2]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $8$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
3 $[3, 3, -w + 3]$ $\phantom{-}3$
3 $[3, 3, w - 2]$ $\phantom{-}0$
5 $[5, 5, w^{2} + w - 5]$ $\phantom{-}2$
8 $[8, 2, 2]$ $\phantom{-}1$
13 $[13, 13, w + 2]$ $\phantom{-}2$
13 $[13, 13, -2w + 5]$ $\phantom{-}0$
13 $[13, 13, -w^{2} - w + 4]$ $-5$
19 $[19, 19, -w^{2} + w + 4]$ $\phantom{-}2$
23 $[23, 23, -w^{2} - w + 7]$ $-1$
25 $[25, 5, w^{2} - 2w - 1]$ $\phantom{-}1$
29 $[29, 29, w^{2} - 5]$ $-6$
31 $[31, 31, w^{2} + w - 8]$ $\phantom{-}5$
41 $[41, 41, w^{2} + w - 11]$ $\phantom{-}3$
47 $[47, 47, w^{2} + 2w - 1]$ $\phantom{-}6$
59 $[59, 59, w^{2} + w - 1]$ $-7$
61 $[61, 61, -w^{2} + 5w - 7]$ $-5$
67 $[67, 67, 2w^{2} - 13]$ $\phantom{-}12$
89 $[89, 89, -2w^{2} + w + 20]$ $\phantom{-}10$
89 $[89, 89, 5w^{2} + 8w - 19]$ $-6$
89 $[89, 89, w^{2} + 2w - 7]$ $-12$
Display number of eigenvalues

Atkin-Lehner eigenvalues

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