Properties

Label 3.3.985.1-8.1-b
Base field 3.3.985.1
Weight $[2, 2, 2]$
Level norm $8$
Level $[8, 2, 2]$
Dimension $1$
CM no
Base change no

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Base field 3.3.985.1

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

Form

Weight: $[2, 2, 2]$
Level: $[8, 2, 2]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $10$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
5 $[5, 5, w + 1]$ $\phantom{-}0$
5 $[5, 5, w - 1]$ $-3$
7 $[7, 7, -w + 2]$ $\phantom{-}2$
8 $[8, 2, 2]$ $-1$
11 $[11, 11, -w^{2} + 2w + 2]$ $\phantom{-}0$
17 $[17, 17, -w - 3]$ $-6$
17 $[17, 17, -w^{2} + 2w + 1]$ $\phantom{-}3$
17 $[17, 17, -w^{2} + w + 4]$ $\phantom{-}6$
23 $[23, 23, -w^{2} + 3]$ $-3$
27 $[27, 3, -3]$ $-5$
29 $[29, 29, w^{2} - w - 8]$ $-9$
29 $[29, 29, w^{2} - w - 3]$ $\phantom{-}0$
29 $[29, 29, w^{2} - w - 1]$ $\phantom{-}3$
31 $[31, 31, w^{2} - 2]$ $-4$
37 $[37, 37, 2w - 5]$ $\phantom{-}2$
43 $[43, 43, w^{2} - 2w - 5]$ $-1$
47 $[47, 47, w^{2} - 3w - 2]$ $\phantom{-}3$
49 $[49, 7, w^{2} + w - 4]$ $-1$
53 $[53, 53, w^{2} - 2w - 6]$ $-9$
71 $[71, 71, w - 5]$ $\phantom{-}0$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$8$ $[8, 2, 2]$ $1$