Properties

Label 4.4.9248.1-26.3-a
Base field 4.4.9248.1
Weight $[2, 2, 2, 2]$
Level norm $26$
Level $[26,26,w^{3} - 4w - 3]$
Dimension $1$
CM no
Base change no

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Base field 4.4.9248.1

Generator \(w\), with minimal polynomial \(x^{4} - 5x^{2} + 2\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2, 2, 2]$
Level: $[26,26,w^{3} - 4w - 3]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $18$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, w]$ $\phantom{-}1$
2 $[2, 2, w + 1]$ $-1$
13 $[13, 13, -w^{2} + w + 3]$ $\phantom{-}1$
13 $[13, 13, w^{2} + w - 3]$ $\phantom{-}0$
19 $[19, 19, -w^{3} + 3w + 1]$ $-4$
19 $[19, 19, -w^{3} + 3w - 1]$ $\phantom{-}6$
43 $[43, 43, -w^{2} + w - 1]$ $\phantom{-}10$
43 $[43, 43, w^{2} + w + 1]$ $-10$
49 $[49, 7, w^{3} + w^{2} - 6w - 3]$ $\phantom{-}12$
49 $[49, 7, w^{3} - w^{2} - 6w + 3]$ $\phantom{-}4$
53 $[53, 53, 2w^{3} - w^{2} - 9w + 3]$ $-10$
53 $[53, 53, 2w^{3} + w^{2} - 9w - 3]$ $-14$
59 $[59, 59, w^{3} - w^{2} - 4w + 1]$ $\phantom{-}0$
59 $[59, 59, -w^{3} - w^{2} + 4w + 1]$ $-14$
67 $[67, 67, 3w^{3} - 13w + 1]$ $-12$
67 $[67, 67, -w^{3} + w^{2} + 6w - 5]$ $\phantom{-}4$
81 $[81, 3, -3]$ $-8$
83 $[83, 83, -2w^{3} - w^{2} + 9w + 7]$ $\phantom{-}0$
83 $[83, 83, 4w^{3} - 18w - 1]$ $-16$
89 $[89, 89, -2w^{3} + 10w + 1]$ $-6$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$2$ $[2,2,-w + 1]$ $1$
$13$ $[13,13,w^{2} - w - 3]$ $-1$