Properties

Label 4.4.15952.1-3.1-a
Base field 4.4.15952.1
Weight $[2, 2, 2, 2]$
Level norm $3$
Level $[3, 3, -w^{3} + w^{2} + 5w - 2]$
Dimension $1$
CM no
Base change no

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Base field 4.4.15952.1

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

Form

Weight: $[2, 2, 2, 2]$
Level: $[3, 3, -w^{3} + w^{2} + 5w - 2]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $2$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, w + 1]$ $\phantom{-}2$
3 $[3, 3, -w^{3} + w^{2} + 5w - 2]$ $-1$
11 $[11, 11, -w^{3} + 5w + 1]$ $\phantom{-}4$
11 $[11, 11, -w + 2]$ $\phantom{-}0$
13 $[13, 13, -w^{3} + w^{2} + 4w + 1]$ $\phantom{-}2$
17 $[17, 17, -w^{3} + w^{2} + 6w - 1]$ $\phantom{-}2$
17 $[17, 17, -w^{2} - w + 3]$ $-2$
23 $[23, 23, w^{3} - 6w]$ $\phantom{-}0$
27 $[27, 3, w^{3} + w^{2} - 5w - 4]$ $\phantom{-}4$
41 $[41, 41, -w^{3} + w^{2} + 5w]$ $-10$
41 $[41, 41, 2w^{3} - 11w - 4]$ $\phantom{-}6$
53 $[53, 53, 2w^{3} - 2w^{2} - 11w + 6]$ $-10$
59 $[59, 59, 2w^{3} - 11w - 2]$ $-4$
67 $[67, 67, w^{3} - 7w - 1]$ $\phantom{-}0$
71 $[71, 71, 3w^{3} - 2w^{2} - 15w + 1]$ $\phantom{-}12$
79 $[79, 79, -3w^{3} + w^{2} + 16w + 3]$ $\phantom{-}4$
89 $[89, 89, -4w^{3} + 2w^{2} + 22w - 3]$ $\phantom{-}14$
101 $[101, 101, -2w^{3} + 13w + 6]$ $\phantom{-}10$
101 $[101, 101, w^{3} + w^{2} - 6w - 3]$ $-10$
101 $[101, 101, -3w^{3} + 2w^{2} + 17w - 3]$ $\phantom{-}10$
Display number of eigenvalues

Atkin-Lehner eigenvalues

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