Properties

Label 2.2.184.1-14.1-a
Base field \(\Q(\sqrt{46}) \)
Weight $[2, 2]$
Level norm $14$
Level $[14, 14, -3w - 20]$
Dimension $1$
CM no
Base change no

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Base field \(\Q(\sqrt{46}) \)

Generator \(w\), with minimal polynomial \(x^{2} - 46\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2]$
Level: $[14, 14, -3w - 20]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $38$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, 23w - 156]$ $-1$
3 $[3, 3, -w - 7]$ $-1$
3 $[3, 3, w - 7]$ $\phantom{-}0$
5 $[5, 5, -9w + 61]$ $-1$
5 $[5, 5, -9w - 61]$ $\phantom{-}4$
7 $[7, 7, 4w - 27]$ $-1$
7 $[7, 7, 4w + 27]$ $-1$
23 $[23, 23, 78w - 529]$ $\phantom{-}6$
37 $[37, 37, -w - 3]$ $-2$
37 $[37, 37, w - 3]$ $-2$
41 $[41, 41, -2w + 15]$ $\phantom{-}9$
41 $[41, 41, 2w + 15]$ $\phantom{-}5$
53 $[53, 53, -3w - 19]$ $-4$
53 $[53, 53, 3w - 19]$ $-3$
59 $[59, 59, 11w - 75]$ $-14$
59 $[59, 59, -11w - 75]$ $\phantom{-}9$
61 $[61, 61, -5w + 33]$ $-6$
61 $[61, 61, 5w + 33]$ $\phantom{-}15$
73 $[73, 73, -24w - 163]$ $\phantom{-}8$
73 $[73, 73, -24w + 163]$ $-12$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$2$ $[2, 2, 23w - 156]$ $1$
$7$ $[7, 7, 4w - 27]$ $1$