Properties

Label 2.2.184.1-1.1-a
Base field \(\Q(\sqrt{46}) \)
Weight $[2, 2]$
Level norm $1$
Level $[1, 1, 1]$
Dimension $2$
CM no
Base change yes

Related objects

Downloads

Learn more

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: $2$
CM: no
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:

\(x^{2} - 14\)

  Show full eigenvalues   Hide large eigenvalues

Norm Prime Eigenvalue
2 $[2, 2, 23w - 156]$ $\phantom{-}2$
3 $[3, 3, -w - 7]$ $-2$
3 $[3, 3, w - 7]$ $-2$
5 $[5, 5, -9w + 61]$ $\phantom{-}e$
5 $[5, 5, -9w - 61]$ $\phantom{-}e$
7 $[7, 7, 4w - 27]$ $\phantom{-}0$
7 $[7, 7, 4w + 27]$ $\phantom{-}0$
23 $[23, 23, 78w - 529]$ $\phantom{-}2e$
37 $[37, 37, -w - 3]$ $-e$
37 $[37, 37, w - 3]$ $-e$
41 $[41, 41, -2w + 15]$ $-4$
41 $[41, 41, 2w + 15]$ $-4$
53 $[53, 53, -3w - 19]$ $-e$
53 $[53, 53, 3w - 19]$ $-e$
59 $[59, 59, 11w - 75]$ $-2$
59 $[59, 59, -11w - 75]$ $-2$
61 $[61, 61, -5w + 33]$ $\phantom{-}3e$
61 $[61, 61, 5w + 33]$ $\phantom{-}3e$
73 $[73, 73, -24w - 163]$ $\phantom{-}8$
73 $[73, 73, -24w + 163]$ $\phantom{-}8$
Display number of eigenvalues

Atkin-Lehner eigenvalues

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