Properties

Label 4.4.14013.1-16.1-a
Base field 4.4.14013.1
Weight $[2, 2, 2, 2]$
Level norm $16$
Level $[16, 2, 2]$
Dimension $1$
CM no
Base change no

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Base field 4.4.14013.1

Generator \(w\), with minimal polynomial \(x^{4} - x^{3} - 6x^{2} + 6x + 3\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2, 2, 2]$
Level: $[16, 2, 2]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $26$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
3 $[3, 3, w]$ $-1$
3 $[3, 3, w - 1]$ $\phantom{-}3$
7 $[7, 7, w + 1]$ $-3$
7 $[7, 7, -w^{3} + 5w - 2]$ $-2$
13 $[13, 13, -w^{3} + 5w + 1]$ $-2$
16 $[16, 2, 2]$ $-1$
29 $[29, 29, w^{3} + w^{2} - 5w - 1]$ $-2$
31 $[31, 31, -w^{3} + 4w - 1]$ $-9$
41 $[41, 41, w^{3} - 6w + 1]$ $\phantom{-}3$
43 $[43, 43, w^{3} + w^{2} - 6w - 1]$ $\phantom{-}8$
47 $[47, 47, -w^{3} + 2w^{2} + 5w - 11]$ $-3$
49 $[49, 7, w^{2} + w - 1]$ $\phantom{-}12$
59 $[59, 59, w^{3} - w^{2} - 6w + 4]$ $\phantom{-}4$
59 $[59, 59, w^{2} - w - 4]$ $\phantom{-}2$
67 $[67, 67, 2w^{3} + w^{2} - 9w - 2]$ $\phantom{-}2$
71 $[71, 71, -3w^{3} - w^{2} + 16w + 5]$ $-8$
71 $[71, 71, 2w - 1]$ $\phantom{-}5$
73 $[73, 73, w^{3} - 6w + 4]$ $-2$
83 $[83, 83, w^{3} - w^{2} - 3w + 4]$ $-12$
103 $[103, 103, w^{3} + w^{2} - 4w - 5]$ $-8$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$16$ $[16, 2, 2]$ $1$