Properties

Label 5.5.180769.1-25.2-b
Base field 5.5.180769.1
Weight $[2, 2, 2, 2, 2]$
Level norm $25$
Level $[25, 25, w^{4} - 2w^{3} - 3w^{2} + 6w - 3]$
Dimension $1$
CM no
Base change no

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Base field 5.5.180769.1

Generator \(w\), with minimal polynomial \(x^{5} - 2x^{4} - 4x^{3} + 7x^{2} - 1\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2, 2, 2, 2]$
Level: $[25, 25, w^{4} - 2w^{3} - 3w^{2} + 6w - 3]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $34$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
5 $[5, 5, w^{4} - 2w^{3} - 4w^{2} + 6w + 1]$ $\phantom{-}0$
5 $[5, 5, w^{4} - w^{3} - 5w^{2} + 3w + 1]$ $\phantom{-}4$
7 $[7, 7, -w^{4} + 2w^{3} + 4w^{2} - 6w]$ $\phantom{-}2$
7 $[7, 7, w^{4} - w^{3} - 5w^{2} + 3w + 3]$ $-4$
19 $[19, 19, -w^{3} + w^{2} + 4w]$ $\phantom{-}2$
23 $[23, 23, -w^{2} + 3]$ $-4$
32 $[32, 2, 2]$ $-9$
37 $[37, 37, -w^{4} + 2w^{3} + 3w^{2} - 7w + 4]$ $-6$
41 $[41, 41, w^{4} - w^{3} - 5w^{2} + 2w + 4]$ $-6$
43 $[43, 43, -w^{4} + 2w^{3} + 4w^{2} - 5w - 3]$ $-2$
43 $[43, 43, -w^{2} + w + 3]$ $-4$
47 $[47, 47, 2w^{4} - 3w^{3} - 9w^{2} + 8w + 3]$ $\phantom{-}4$
61 $[61, 61, 2w^{4} - 3w^{3} - 9w^{2} + 10w + 2]$ $-12$
79 $[79, 79, w^{2} - w - 5]$ $\phantom{-}4$
79 $[79, 79, -w^{3} + 2w^{2} + 3w - 3]$ $\phantom{-}6$
79 $[79, 79, -2w^{4} + 4w^{3} + 7w^{2} - 14w + 2]$ $-10$
97 $[97, 97, w^{3} - 6w]$ $-4$
101 $[101, 101, -w^{4} + 2w^{3} + 5w^{2} - 6w - 4]$ $-10$
101 $[101, 101, 2w^{4} - 3w^{3} - 9w^{2} + 10w + 1]$ $\phantom{-}18$
107 $[107, 107, 2w^{4} - 3w^{3} - 8w^{2} + 7w + 2]$ $-4$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$5$ $[5,5,w^{4}-2w^{3}-4w^{2}+6w+1]$ $1$