Properties

Base field \(\Q(\sqrt{6}) \)
Weight [2, 2]
Level norm 338
Level $[338, 26, 13w - 26]$
Label 2.2.24.1-338.1-d
Dimension 1
CM no
Base change yes

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Base field \(\Q(\sqrt{6}) \)

Generator \(w\), with minimal polynomial \(x^{2} - 6\); narrow class number \(2\) and class number \(1\).

Form

Weight [2, 2]
Level $[338, 26, 13w - 26]$
Label 2.2.24.1-338.1-d
Dimension 1
Is CM no
Is base change yes
Parent newspace dimension 40

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, -w + 2]$ $\phantom{-}1$
3 $[3, 3, w - 3]$ $-3$
5 $[5, 5, w + 1]$ $-1$
5 $[5, 5, w - 1]$ $-1$
19 $[19, 19, w + 5]$ $\phantom{-}6$
19 $[19, 19, -w + 5]$ $\phantom{-}6$
23 $[23, 23, -2w + 1]$ $-4$
23 $[23, 23, -2w - 1]$ $-4$
29 $[29, 29, -3w + 5]$ $\phantom{-}2$
29 $[29, 29, -3w - 5]$ $\phantom{-}2$
43 $[43, 43, -w - 7]$ $-5$
43 $[43, 43, w - 7]$ $-5$
47 $[47, 47, 4w - 7]$ $\phantom{-}13$
47 $[47, 47, 6w - 13]$ $\phantom{-}13$
49 $[49, 7, -7]$ $-13$
53 $[53, 53, -3w - 1]$ $\phantom{-}12$
53 $[53, 53, 3w - 1]$ $\phantom{-}12$
67 $[67, 67, -7w + 19]$ $-2$
67 $[67, 67, -3w + 11]$ $-2$
71 $[71, 71, -4w - 5]$ $-5$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
2 $[2, 2, -w + 2]$ $-1$
169 $[169, 13, -13]$ $-1$