Properties

Label 2.2.12.1-132.2-a
Base field \(\Q(\sqrt{3}) \)
Weight $[2, 2]$
Level norm $132$
Level $[132,66,-2w + 12]$
Dimension $1$
CM no
Base change no

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Base field \(\Q(\sqrt{3}) \)

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

Form

Weight: $[2, 2]$
Level: $[132,66,-2w + 12]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $2$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, -w + 1]$ $\phantom{-}0$
3 $[3, 3, w]$ $-1$
11 $[11, 11, -2w + 1]$ $\phantom{-}1$
11 $[11, 11, 2w + 1]$ $\phantom{-}0$
13 $[13, 13, w + 4]$ $\phantom{-}2$
13 $[13, 13, -w + 4]$ $\phantom{-}2$
23 $[23, 23, -3w + 2]$ $\phantom{-}0$
23 $[23, 23, 3w + 2]$ $\phantom{-}0$
25 $[25, 5, 5]$ $\phantom{-}2$
37 $[37, 37, 2w - 7]$ $\phantom{-}2$
37 $[37, 37, -2w - 7]$ $\phantom{-}2$
47 $[47, 47, -4w - 1]$ $\phantom{-}0$
47 $[47, 47, 4w - 1]$ $\phantom{-}12$
49 $[49, 7, -7]$ $\phantom{-}2$
59 $[59, 59, 5w - 4]$ $\phantom{-}0$
59 $[59, 59, -5w - 4]$ $\phantom{-}12$
61 $[61, 61, -w - 8]$ $\phantom{-}2$
61 $[61, 61, w - 8]$ $-10$
71 $[71, 71, 5w - 2]$ $-12$
71 $[71, 71, -5w - 2]$ $\phantom{-}0$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$2$ $[2,2,w + 1]$ $-1$
$3$ $[3,3,-w]$ $1$
$11$ $[11,11,-2w + 1]$ $-1$