Properties

Label 2.2.184.1-14.1-c
Base field \(\Q(\sqrt{46}) \)
Weight $[2, 2]$
Level norm $14$
Level $[14, 14, -3w - 20]$
Dimension $2$
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: $2$
CM: no
Base change: no
Newspace dimension: $38$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q(e)$ where $e$ is a root of the defining polynomial:

\(x^{2} - 2x - 2\)

  Show full eigenvalues   Hide large eigenvalues

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

Atkin-Lehner eigenvalues

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