Properties

Label 4.4.19796.1-10.2-c
Base field 4.4.19796.1
Weight $[2, 2, 2, 2]$
Level norm $10$
Level $[10, 10, -w + 2]$
Dimension $1$
CM no
Base change no

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Base field 4.4.19796.1

Generator \(w\), with minimal polynomial \(x^{4} - x^{3} - 7x^{2} + x + 8\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2, 2, 2]$
Level: $[10, 10, -w + 2]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $18$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, -w^{2} + 2]$ $\phantom{-}1$
2 $[2, 2, -w^{3} + 2w^{2} + 4w - 5]$ $\phantom{-}0$
5 $[5, 5, -w^{3} + 2w^{2} + 3w - 1]$ $\phantom{-}1$
13 $[13, 13, w^{3} - 2w^{2} - 3w + 5]$ $\phantom{-}2$
17 $[17, 17, -w^{2} - w + 3]$ $\phantom{-}2$
19 $[19, 19, -w^{3} + 3w^{2} + 2w - 7]$ $\phantom{-}6$
23 $[23, 23, w^{3} - 2w^{2} - 3w + 3]$ $\phantom{-}6$
31 $[31, 31, -w^{2} + w + 1]$ $-2$
47 $[47, 47, -w^{3} + w^{2} + 4w - 3]$ $\phantom{-}4$
49 $[49, 7, 2w^{3} - 5w^{2} - 7w + 11]$ $\phantom{-}6$
53 $[53, 53, -3w^{3} + 9w^{2} + 10w - 31]$ $\phantom{-}2$
53 $[53, 53, w^{3} - w^{2} - 4w + 1]$ $-6$
61 $[61, 61, 3w^{3} - 6w^{2} - 13w + 13]$ $\phantom{-}8$
61 $[61, 61, 2w^{2} - 7]$ $\phantom{-}10$
71 $[71, 71, w^{2} - 3w - 5]$ $-8$
73 $[73, 73, 2w - 3]$ $\phantom{-}0$
73 $[73, 73, -2w^{3} + 6w^{2} + 6w - 19]$ $-6$
79 $[79, 79, 2w^{2} - 5]$ $\phantom{-}0$
81 $[81, 3, -3]$ $-2$
101 $[101, 101, 2w^{2} - 4w - 9]$ $\phantom{-}8$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$2$ $[2, 2, -w^{2} + 2]$ $-1$
$5$ $[5, 5, -w^{3} + 2w^{2} + 3w - 1]$ $-1$