Properties

Label 4.4.14336.1-14.2-a
Base field 4.4.14336.1
Weight $[2, 2, 2, 2]$
Level norm $14$
Level $[14, 14, -w^{2} - w + 2]$
Dimension $1$
CM no
Base change no

Related objects

Downloads

Learn more

Base field 4.4.14336.1

Generator \(w\), with minimal polynomial \(x^{4} - 8x^{2} + 14\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2, 2, 2]$
Level: $[14, 14, -w^{2} - w + 2]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $12$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, -w^{3} + w^{2} + 5w - 6]$ $\phantom{-}1$
7 $[7, 7, w^{3} - w^{2} - 5w + 7]$ $-3$
7 $[7, 7, -w - 1]$ $\phantom{-}3$
7 $[7, 7, w - 1]$ $-1$
17 $[17, 17, w^{2} - w - 5]$ $\phantom{-}0$
17 $[17, 17, w^{2} + w - 5]$ $-2$
23 $[23, 23, -w - 3]$ $-6$
23 $[23, 23, w - 3]$ $-3$
25 $[25, 5, -w^{3} + w^{2} + 4w - 3]$ $-2$
25 $[25, 5, -w^{3} - w^{2} + 4w + 3]$ $-2$
41 $[41, 41, w^{3} - 4w - 1]$ $-2$
41 $[41, 41, -w^{3} + 4w - 1]$ $-5$
71 $[71, 71, -w^{3} + 2w^{2} + 4w - 9]$ $\phantom{-}12$
71 $[71, 71, w^{3} + 2w^{2} - 4w - 9]$ $-2$
73 $[73, 73, w^{3} - w^{2} - 5w + 3]$ $\phantom{-}0$
73 $[73, 73, w^{3} + w^{2} - 5w - 3]$ $-14$
79 $[79, 79, 2w^{2} - 2w - 9]$ $\phantom{-}7$
79 $[79, 79, -2w^{3} + 8w + 5]$ $-16$
81 $[81, 3, -3]$ $\phantom{-}5$
89 $[89, 89, -w^{3} - 2w^{2} + 6w + 13]$ $-6$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$2$ $[2,2,-w^{3}+w^{2}+5w-6]$ $-1$
$7$ $[7,7,w-1]$ $1$