Properties

Label 2.2.184.1-2.1-d
Base field \(\Q(\sqrt{46}) \)
Weight $[2, 2]$
Level norm $2$
Level $[2, 2, 23w - 156]$
Dimension $1$
CM no
Base change no

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: $[2, 2, 23w - 156]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $4$

Hecke eigenvalues ($q$-expansion)

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

Atkin-Lehner eigenvalues

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