Properties

Label 3.3.1849.1-8.4-a
Base field 3.3.1849.1
Weight $[2, 2, 2]$
Level norm $8$
Level $[8,4,\frac{1}{2}w^{2} - \frac{1}{2}w - 5]$
Dimension $1$
CM no
Base change no

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Base field 3.3.1849.1

Generator \(w\), with minimal polynomial \(x^{3} - x^{2} - 14x - 8\); narrow class number \(1\) and class number \(1\).

Form

Weight: $[2, 2, 2]$
Level: $[8,4,\frac{1}{2}w^{2} - \frac{1}{2}w - 5]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $6$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, -\frac{1}{2}w^{2} + \frac{1}{2}w + 8]$ $-1$
2 $[2, 2, \frac{1}{2}w^{2} - \frac{3}{2}w - 1]$ $\phantom{-}0$
2 $[2, 2, w + 3]$ $\phantom{-}1$
11 $[11, 11, -w^{2} + 3w + 7]$ $\phantom{-}2$
11 $[11, 11, -2w - 1]$ $-2$
11 $[11, 11, -w^{2} + w + 11]$ $-2$
27 $[27, 3, 3]$ $-2$
41 $[41, 41, 2w + 5]$ $\phantom{-}4$
41 $[41, 41, -w^{2} + 3w + 3]$ $\phantom{-}6$
41 $[41, 41, -w^{2} + w + 15]$ $-6$
43 $[43, 43, -3w^{2} + 11w + 11]$ $\phantom{-}6$
47 $[47, 47, -w^{2} - w + 5]$ $-8$
47 $[47, 47, w^{2} - 5w - 3]$ $-12$
47 $[47, 47, -2w^{2} + 4w + 23]$ $-8$
59 $[59, 59, -w^{2} + w + 13]$ $\phantom{-}4$
59 $[59, 59, w^{2} - 3w - 5]$ $-8$
59 $[59, 59, -2w - 3]$ $-12$
97 $[97, 97, 7w^{2} - 11w - 91]$ $-6$
97 $[97, 97, -2w^{2} - 8w - 5]$ $-8$
97 $[97, 97, 5w^{2} - 19w - 15]$ $\phantom{-}6$
Display number of eigenvalues

Atkin-Lehner eigenvalues

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