Properties

Base field \(\Q(\sqrt{6}) \)
Weight [2, 2]
Level norm 578
Level $[578, 34, 17w - 34]$
Label 2.2.24.1-578.1-c
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 $[578, 34, 17w - 34]$
Label 2.2.24.1-578.1-c
Dimension 1
Is CM no
Is base change yes
Parent newspace dimension 70

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, -w + 2]$ $\phantom{-}1$
3 $[3, 3, w - 3]$ $-2$
5 $[5, 5, w + 1]$ $\phantom{-}0$
5 $[5, 5, w - 1]$ $\phantom{-}0$
19 $[19, 19, w + 5]$ $-4$
19 $[19, 19, -w + 5]$ $-4$
23 $[23, 23, -2w + 1]$ $\phantom{-}0$
23 $[23, 23, -2w - 1]$ $\phantom{-}0$
29 $[29, 29, -3w + 5]$ $\phantom{-}0$
29 $[29, 29, -3w - 5]$ $\phantom{-}0$
43 $[43, 43, -w - 7]$ $\phantom{-}8$
43 $[43, 43, w - 7]$ $\phantom{-}8$
47 $[47, 47, 4w - 7]$ $\phantom{-}0$
47 $[47, 47, 6w - 13]$ $\phantom{-}0$
49 $[49, 7, -7]$ $\phantom{-}2$
53 $[53, 53, -3w - 1]$ $-6$
53 $[53, 53, 3w - 1]$ $-6$
67 $[67, 67, -7w + 19]$ $\phantom{-}8$
67 $[67, 67, -3w + 11]$ $\phantom{-}8$
71 $[71, 71, -4w - 5]$ $\phantom{-}0$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
2 $[2, 2, -w + 2]$ $-1$
289 $[289, 17, -17]$ $-1$