Properties

Label 3.3.1524.1-8.1-a
Base field 3.3.1524.1
Weight $[2, 2, 2]$
Level norm $8$
Level $[8, 2, 2]$
Dimension $1$
CM no
Base change no

Related objects

Downloads

Learn more

Base field 3.3.1524.1

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

Form

Weight: $[2, 2, 2]$
Level: $[8, 2, 2]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $11$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, -w^{2} + 3w]$ $\phantom{-}0$
3 $[3, 3, -w^{2} - w + 3]$ $-3$
3 $[3, 3, w + 2]$ $-2$
7 $[7, 7, 2w^{2} - 6w - 1]$ $\phantom{-}3$
11 $[11, 11, -w^{2} + 2w + 4]$ $\phantom{-}1$
17 $[17, 17, -w^{2} + 4w - 2]$ $\phantom{-}2$
19 $[19, 19, w^{2} - 6]$ $\phantom{-}2$
19 $[19, 19, -w^{2} - 3w - 1]$ $-5$
19 $[19, 19, 3w^{2} - 9w - 1]$ $\phantom{-}4$
41 $[41, 41, w^{2} - 8]$ $\phantom{-}11$
43 $[43, 43, -2w^{2} - 3w + 4]$ $-8$
47 $[47, 47, -2w - 3]$ $-2$
49 $[49, 7, -9w^{2} + 29w - 3]$ $-5$
67 $[67, 67, 2w - 3]$ $-11$
71 $[71, 71, 4w^{2} - 14w + 5]$ $-5$
79 $[79, 79, w^{2} - 3w - 3]$ $-6$
79 $[79, 79, -w^{2} + 5w - 5]$ $-10$
79 $[79, 79, 6w^{2} - 3w - 38]$ $-1$
97 $[97, 97, 3w^{2} - 10w]$ $-7$
103 $[103, 103, 3w^{2} - 4w - 24]$ $-6$
Display number of eigenvalues

Atkin-Lehner eigenvalues

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