Properties

Label 2.2.268.1-6.2-b
Base field \(\Q(\sqrt{67}) \)
Weight $[2, 2]$
Level norm $6$
Level $[6,6,-5w + 41]$
Dimension $1$
CM no
Base change no

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Base field \(\Q(\sqrt{67}) \)

Generator \(w\), with minimal polynomial \(x^{2} - 67\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2]$
Level: $[6,6,-5w + 41]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $24$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, -27w + 221]$ $-1$
3 $[3, 3, -w + 8]$ $\phantom{-}1$
3 $[3, 3, -w - 8]$ $\phantom{-}1$
7 $[7, 7, -11w + 90]$ $\phantom{-}3$
7 $[7, 7, -11w - 90]$ $-2$
11 $[11, 11, 6w - 49]$ $-5$
11 $[11, 11, 6w + 49]$ $\phantom{-}5$
17 $[17, 17, 4w + 33]$ $-2$
17 $[17, 17, -4w + 33]$ $-6$
25 $[25, 5, -5]$ $\phantom{-}6$
29 $[29, 29, -70w + 573]$ $\phantom{-}9$
29 $[29, 29, 151w - 1236]$ $-6$
31 $[31, 31, -w - 6]$ $-8$
31 $[31, 31, w - 6]$ $\phantom{-}5$
37 $[37, 37, -21w - 172]$ $\phantom{-}3$
37 $[37, 37, -21w + 172]$ $-8$
43 $[43, 43, 2w - 15]$ $-8$
43 $[43, 43, 2w + 15]$ $-8$
67 $[67, 67, -w]$ $\phantom{-}11$
73 $[73, 73, -3w - 26]$ $\phantom{-}2$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$2$ $[2,2,27w + 221]$ $1$
$3$ $[3,3,w + 8]$ $-1$