Properties

Label 3.3.1369.1-11.1-a
Base field 3.3.1369.1
Weight $[2, 2, 2]$
Level norm $11$
Level $[11, 11, w]$
Dimension $1$
CM no
Base change no

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Base field 3.3.1369.1

Generator \(w\), with minimal polynomial \(x^{3} - x^{2} - 12x - 11\); narrow class number \(1\) and class number \(1\).

Form

Weight: $[2, 2, 2]$
Level: $[11, 11, w]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $20$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
8 $[8, 2, 2]$ $\phantom{-}0$
11 $[11, 11, w]$ $-1$
11 $[11, 11, -w^{2} + 3w + 7]$ $\phantom{-}3$
11 $[11, 11, w^{2} - 2w - 8]$ $-2$
23 $[23, 23, w^{2} - 2w - 7]$ $\phantom{-}6$
23 $[23, 23, w^{2} - 3w - 8]$ $\phantom{-}1$
23 $[23, 23, w - 1]$ $-4$
27 $[27, 3, 3]$ $-5$
29 $[29, 29, w^{2} - 2w - 5]$ $-6$
29 $[29, 29, w^{2} - 3w - 10]$ $\phantom{-}9$
29 $[29, 29, w - 3]$ $-6$
31 $[31, 31, w^{2} - 2w - 6]$ $\phantom{-}0$
31 $[31, 31, -w^{2} + 3w + 9]$ $-10$
31 $[31, 31, w - 2]$ $\phantom{-}0$
37 $[37, 37, -w^{2} + 4w + 7]$ $-1$
43 $[43, 43, 2w^{2} - 6w - 13]$ $-3$
43 $[43, 43, 2w^{2} - 4w - 17]$ $-8$
43 $[43, 43, w^{2} - 2w - 12]$ $-8$
47 $[47, 47, w^{2} - 4w - 4]$ $-9$
47 $[47, 47, w^{2} - w - 5]$ $\phantom{-}1$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$11$ $[11, 11, w]$ $1$