Properties

Label 3.3.1929.1-7.2-a
Base field 3.3.1929.1
Weight $[2, 2, 2]$
Level norm $7$
Level $[7, 7, -w^{2} + 11]$
Dimension $1$
CM no
Base change no

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Base field 3.3.1929.1

Generator \(w\), with minimal polynomial \(x^{3} - x^{2} - 10x + 13\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2, 2]$
Level: $[7, 7, -w^{2} + 11]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $22$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
3 $[3, 3, w - 2]$ $\phantom{-}0$
3 $[3, 3, w - 1]$ $\phantom{-}2$
7 $[7, 7, w^{2} + w - 7]$ $-4$
7 $[7, 7, -w^{2} + 11]$ $\phantom{-}1$
7 $[7, 7, -w^{2} + 9]$ $\phantom{-}2$
8 $[8, 2, 2]$ $\phantom{-}1$
13 $[13, 13, -w]$ $\phantom{-}4$
19 $[19, 19, -w^{2} - w + 4]$ $\phantom{-}0$
23 $[23, 23, w^{2} + w - 10]$ $\phantom{-}0$
29 $[29, 29, 2w^{2} - 21]$ $\phantom{-}10$
37 $[37, 37, 2w^{2} + w - 17]$ $\phantom{-}10$
43 $[43, 43, 3w^{2} + 3w - 22]$ $\phantom{-}2$
47 $[47, 47, w^{2} - 6]$ $\phantom{-}2$
47 $[47, 47, w^{2} - 3]$ $\phantom{-}2$
47 $[47, 47, -w^{2} + 12]$ $\phantom{-}0$
53 $[53, 53, w^{2} - w - 4]$ $-10$
61 $[61, 61, w^{2} - 5]$ $-2$
67 $[67, 67, w^{2} - w - 7]$ $-8$
73 $[73, 73, 7w^{2} + 3w - 66]$ $\phantom{-}14$
79 $[79, 79, 2w^{2} - 19]$ $\phantom{-}10$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$7$ $[7, 7, -w^{2} + 11]$ $-1$