Properties

Label 3.3.1489.1-19.2-b
Base field 3.3.1489.1
Weight $[2, 2, 2]$
Level norm $19$
Level $[19, 19, -w^{2} + 2w + 10]$
Dimension $1$
CM no
Base change no

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Base field 3.3.1489.1

Generator \(w\), with minimal polynomial \(x^{3} - x^{2} - 10x - 7\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2, 2]$
Level: $[19, 19, -w^{2} + 2w + 10]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $36$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
7 $[7, 7, w]$ $-2$
8 $[8, 2, 2]$ $-3$
13 $[13, 13, w^{2} - 3w - 5]$ $\phantom{-}2$
17 $[17, 17, w - 1]$ $\phantom{-}6$
19 $[19, 19, -w^{2} + 2w + 6]$ $-2$
19 $[19, 19, -w^{2} + 2w + 10]$ $\phantom{-}1$
19 $[19, 19, -w + 3]$ $\phantom{-}4$
23 $[23, 23, w - 2]$ $-6$
27 $[27, 3, 3]$ $\phantom{-}4$
29 $[29, 29, w^{2} - 2w - 5]$ $-6$
31 $[31, 31, w^{2} - 3w - 6]$ $\phantom{-}8$
31 $[31, 31, w^{2} - w - 8]$ $-2$
31 $[31, 31, w^{2} - 2w - 4]$ $\phantom{-}10$
41 $[41, 41, w^{2} - w - 5]$ $\phantom{-}12$
43 $[43, 43, w^{2} - 3w - 10]$ $\phantom{-}8$
47 $[47, 47, -w - 4]$ $\phantom{-}0$
47 $[47, 47, w^{2} - w - 9]$ $\phantom{-}0$
47 $[47, 47, -2w^{2} + 3w + 17]$ $\phantom{-}12$
49 $[49, 7, w^{2} - w - 10]$ $-2$
53 $[53, 53, w^{2} - w - 4]$ $\phantom{-}0$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$19$ $[19, 19, -w^{2} + 2w + 10]$ $-1$