Properties

Label 4.4.10309.1-17.1-c
Base field 4.4.10309.1
Weight $[2, 2, 2, 2]$
Level norm $17$
Level $[17, 17, w^{2} + w - 2]$
Dimension $1$
CM no
Base change no

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Base field 4.4.10309.1

Generator \(w\), with minimal polynomial \(x^{4} - x^{3} - 6x^{2} + 8x - 1\); narrow class number \(1\) and class number \(1\).

Form

Weight: $[2, 2, 2, 2]$
Level: $[17, 17, w^{2} + w - 2]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $13$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
9 $[9, 3, w^{3} - 5w + 3]$ $\phantom{-}2$
9 $[9, 3, w^{3} - 5w + 2]$ $-4$
13 $[13, 13, w + 1]$ $\phantom{-}0$
13 $[13, 13, w^{3} - 6w + 4]$ $\phantom{-}6$
16 $[16, 2, 2]$ $\phantom{-}1$
17 $[17, 17, w^{2} + w - 2]$ $\phantom{-}1$
17 $[17, 17, w^{2} + w - 5]$ $\phantom{-}0$
23 $[23, 23, w^{3} - w^{2} - 6w + 6]$ $-3$
23 $[23, 23, w^{3} + w^{2} - 4w - 1]$ $-9$
25 $[25, 5, -w^{2} + 3]$ $-3$
25 $[25, 5, -w^{3} - w^{2} + 5w + 1]$ $-6$
29 $[29, 29, -w^{2} - 2w + 3]$ $-6$
29 $[29, 29, -w^{3} + w^{2} + 7w - 7]$ $\phantom{-}0$
43 $[43, 43, 2w^{3} + w^{2} - 10w + 3]$ $-1$
43 $[43, 43, -w^{3} + w^{2} + 5w - 7]$ $-10$
53 $[53, 53, w^{3} - w^{2} - 7w + 5]$ $\phantom{-}3$
53 $[53, 53, w^{2} + 2w - 5]$ $-6$
61 $[61, 61, 2w^{3} + w^{2} - 10w]$ $\phantom{-}6$
61 $[61, 61, w^{3} - 7w + 3]$ $\phantom{-}9$
61 $[61, 61, 2w^{3} + w^{2} - 9w + 3]$ $-3$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$17$ $[17, 17, w^{2} + w - 2]$ $-1$