Properties

Label 4.4.8525.1-25.1-c
Base field 4.4.8525.1
Weight $[2, 2, 2, 2]$
Level norm $25$
Level $[25, 5, -2w^{2} + w + 8]$
Dimension $1$
CM no
Base change no

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Base field 4.4.8525.1

Generator \(w\), with minimal polynomial \(x^{4} - 2x^{3} - 8x^{2} + 9x + 19\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2, 2, 2]$
Level: $[25, 5, -2w^{2} + w + 8]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $10$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
5 $[5, 5, w + 1]$ $\phantom{-}0$
5 $[5, 5, -w + 2]$ $-1$
11 $[11, 11, w^{2} - 2w - 4]$ $\phantom{-}3$
11 $[11, 11, -w^{2} + 3]$ $-3$
11 $[11, 11, w^{2} - 5]$ $-2$
16 $[16, 2, 2]$ $-3$
19 $[19, 19, -w]$ $\phantom{-}0$
19 $[19, 19, -w + 1]$ $-5$
31 $[31, 31, -w^{3} + 3w^{2} + 2w - 9]$ $-2$
31 $[31, 31, -w^{2} + 2w + 7]$ $\phantom{-}8$
31 $[31, 31, -w^{3} + 5w + 5]$ $\phantom{-}8$
41 $[41, 41, -w^{3} + 2w^{2} + 4w - 2]$ $\phantom{-}7$
41 $[41, 41, -w^{3} + w^{2} + 5w - 3]$ $-8$
59 $[59, 59, -w^{3} + w^{2} + 6w - 2]$ $-10$
59 $[59, 59, -w^{3} + w^{2} + 4w + 5]$ $-10$
59 $[59, 59, w^{3} - 5w^{2} - w + 18]$ $\phantom{-}5$
59 $[59, 59, w^{3} - 2w^{2} - 5w + 4]$ $\phantom{-}0$
81 $[81, 3, -3]$ $\phantom{-}2$
89 $[89, 89, -w^{3} + 3w^{2} - 3]$ $-10$
89 $[89, 89, -4w^{2} + 5w + 20]$ $-10$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$5$ $[5, 5, w + 1]$ $-1$