Properties

Label 3.3.1384.1-8.3-a
Base field 3.3.1384.1
Weight $[2, 2, 2]$
Level norm $8$
Level $[8, 4, -w^{2} - w + 10]$
Dimension $1$
CM no
Base change no

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Base field 3.3.1384.1

Generator \(w\), with minimal polynomial \(x^{3} - x^{2} - 10x + 14\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2, 2]$
Level: $[8, 4, -w^{2} - w + 10]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $4$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, w - 2]$ $-1$
2 $[2, 2, w^{2} + 2w - 5]$ $\phantom{-}0$
7 $[7, 7, w^{2} + w - 7]$ $\phantom{-}4$
11 $[11, 11, -w^{2} - w + 11]$ $-3$
11 $[11, 11, 2w^{2} + 2w - 15]$ $-2$
11 $[11, 11, w^{2} + w - 9]$ $\phantom{-}5$
13 $[13, 13, 2w - 5]$ $-5$
17 $[17, 17, -w^{2} - w + 5]$ $\phantom{-}1$
27 $[27, 3, -3]$ $-10$
29 $[29, 29, w^{2} + w - 3]$ $\phantom{-}5$
37 $[37, 37, -2w^{2} + 15]$ $\phantom{-}2$
43 $[43, 43, 3w^{2} + w - 27]$ $\phantom{-}0$
49 $[49, 7, -w^{2} + w + 3]$ $\phantom{-}8$
67 $[67, 67, 2w^{2} + 2w - 17]$ $\phantom{-}11$
71 $[71, 71, 2w - 1]$ $\phantom{-}0$
79 $[79, 79, 3w^{2} + w - 25]$ $-1$
83 $[83, 83, w^{2} + 3w - 5]$ $-1$
89 $[89, 89, -4w^{2} - 4w + 31]$ $\phantom{-}10$
89 $[89, 89, -2w^{2} + 17]$ $-3$
89 $[89, 89, 2w^{2} + 2w - 19]$ $-8$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$2$ $[2, 2, w - 2]$ $1$
$2$ $[2, 2, w^{2} + 2w - 5]$ $-1$