Properties

Base field 5.5.65657.1
Weight [2, 2, 2, 2, 2]
Level norm 25
Level $[25, 25, -w^{3} + w^{2} + 3w - 2]$
Label 5.5.65657.1-25.1-c
Dimension 1
CM no
Base change no

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Base field 5.5.65657.1

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

Form

Weight [2, 2, 2, 2, 2]
Level $[25, 25, -w^{3} + w^{2} + 3w - 2]$
Label 5.5.65657.1-25.1-c
Dimension 1
Is CM no
Is base change no
Parent newspace dimension 8

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
3 $[3, 3, -w^{4} + w^{3} + 4w^{2} - 2w - 2]$ $\phantom{-}1$
5 $[5, 5, w^{2} - w - 2]$ $\phantom{-}0$
19 $[19, 19, w^{4} - 2w^{3} - 4w^{2} + 5w + 4]$ $-5$
23 $[23, 23, -w^{3} + w^{2} + 3w - 1]$ $-6$
29 $[29, 29, 2w^{4} - 3w^{3} - 8w^{2} + 7w + 4]$ $\phantom{-}0$
32 $[32, 2, 2]$ $-3$
37 $[37, 37, w^{3} - 2w^{2} - 2w + 2]$ $\phantom{-}2$
41 $[41, 41, -2w^{4} + 3w^{3} + 9w^{2} - 8w - 6]$ $-12$
43 $[43, 43, -2w^{4} + 3w^{3} + 8w^{2} - 8w - 6]$ $\phantom{-}4$
47 $[47, 47, w^{4} - 2w^{3} - 5w^{2} + 6w + 5]$ $-3$
53 $[53, 53, -w^{4} + w^{3} + 4w^{2} - w - 4]$ $\phantom{-}9$
61 $[61, 61, w^{2} - 2w - 3]$ $-8$
67 $[67, 67, w^{4} - w^{3} - 4w^{2} + 3w]$ $-13$
67 $[67, 67, -w^{4} + w^{3} + 5w^{2} - 2w - 2]$ $\phantom{-}2$
71 $[71, 71, w^{4} - w^{3} - 4w^{2} + 5]$ $-3$
71 $[71, 71, w^{4} - 2w^{3} - 3w^{2} + 5w + 3]$ $-12$
71 $[71, 71, 2w^{4} - 2w^{3} - 8w^{2} + 5w + 4]$ $\phantom{-}12$
73 $[73, 73, -2w^{4} + 2w^{3} + 9w^{2} - 5w - 6]$ $\phantom{-}1$
81 $[81, 3, -2w^{4} + 3w^{3} + 10w^{2} - 9w - 10]$ $-13$
97 $[97, 97, -2w^{4} + 3w^{3} + 7w^{2} - 5w - 4]$ $-2$
Display number of eigenvalues

Atkin-Lehner eigenvalues

The Atkin-Lehner eigenvalues for this form are not in the database.