Properties

Label 3.3.568.1-10.1-a
Base field 3.3.568.1
Weight $[2, 2, 2]$
Level norm $10$
Level $[10, 10, w^{2} - 2w - 5]$
Dimension $1$
CM no
Base change no

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Base field 3.3.568.1

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

Form

Weight: $[2, 2, 2]$
Level: $[10, 10, w^{2} - 2w - 5]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $3$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, w]$ $\phantom{-}0$
2 $[2, 2, w + 1]$ $-1$
5 $[5, 5, w^{2} - w - 7]$ $-1$
11 $[11, 11, -w^{2} + w + 1]$ $-6$
17 $[17, 17, -w^{2} + w + 3]$ $\phantom{-}0$
25 $[25, 5, -w^{2} - w - 1]$ $-4$
27 $[27, 3, 3]$ $\phantom{-}4$
29 $[29, 29, -w^{2} + 3w - 1]$ $\phantom{-}6$
37 $[37, 37, 3w^{2} - 5w - 13]$ $\phantom{-}2$
41 $[41, 41, 2w - 1]$ $\phantom{-}0$
53 $[53, 53, 5w^{2} - 9w - 21]$ $\phantom{-}6$
53 $[53, 53, 3w^{2} - 5w - 15]$ $\phantom{-}6$
53 $[53, 53, w^{2} - 3w - 7]$ $-6$
59 $[59, 59, w^{2} - 3w - 5]$ $-12$
61 $[61, 61, 2w^{2} - 4w - 9]$ $-10$
61 $[61, 61, 2w - 7]$ $-10$
61 $[61, 61, 2w - 5]$ $\phantom{-}2$
67 $[67, 67, -w^{2} + w - 1]$ $-10$
71 $[71, 71, -2w - 5]$ $-12$
71 $[71, 71, 3w^{2} - 3w - 19]$ $\phantom{-}0$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$2$ $[2, 2, w + 1]$ $1$
$5$ $[5, 5, w^{2} - w - 7]$ $1$