Properties

Label 2.2.184.1-1.1-b
Base field \(\Q(\sqrt{46}) \)
Weight $[2, 2]$
Level norm $1$
Level $[1, 1, 1]$
Dimension $3$
CM yes
Base change yes

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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: $[1, 1, 1]$
Dimension: $3$
CM: yes
Base change: yes
Newspace dimension: $11$

Hecke eigenvalues ($q$-expansion)

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

\(x^{3} - 6x - 3\)

  Show full eigenvalues   Hide large eigenvalues

Norm Prime Eigenvalue
2 $[2, 2, 23w - 156]$ $\phantom{-}e$
3 $[3, 3, -w - 7]$ $\phantom{-}e^{2} - e - 4$
3 $[3, 3, w - 7]$ $\phantom{-}e^{2} - e - 4$
5 $[5, 5, -9w + 61]$ $\phantom{-}0$
5 $[5, 5, -9w - 61]$ $\phantom{-}0$
7 $[7, 7, 4w - 27]$ $\phantom{-}0$
7 $[7, 7, 4w + 27]$ $\phantom{-}0$
23 $[23, 23, 78w - 529]$ $\phantom{-}0$
37 $[37, 37, -w - 3]$ $\phantom{-}0$
37 $[37, 37, w - 3]$ $\phantom{-}0$
41 $[41, 41, -2w + 15]$ $-3e^{2} + 5e + 12$
41 $[41, 41, 2w + 15]$ $-3e^{2} + 5e + 12$
53 $[53, 53, -3w - 19]$ $\phantom{-}0$
53 $[53, 53, 3w - 19]$ $\phantom{-}0$
59 $[59, 59, 11w - 75]$ $\phantom{-}12$
59 $[59, 59, -11w - 75]$ $\phantom{-}12$
61 $[61, 61, -5w + 33]$ $\phantom{-}0$
61 $[61, 61, 5w + 33]$ $\phantom{-}0$
73 $[73, 73, -24w - 163]$ $\phantom{-}5e^{2} - 3e - 20$
73 $[73, 73, -24w + 163]$ $\phantom{-}5e^{2} - 3e - 20$
Display number of eigenvalues

Atkin-Lehner eigenvalues

This form has no Atkin-Lehner eigenvalues since the level is \((1)\).