Properties

Label 2.2.492.1-2.1-a
Base field \(\Q(\sqrt{123}) \)
Weight $[2, 2]$
Level norm $2$
Level $[2, 2, -w - 11]$
Dimension $1$
CM no
Base change no

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Base field \(\Q(\sqrt{123}) \)

Generator \(w\), with minimal polynomial \(x^{2} - 123\); narrow class number \(4\) and class number \(2\).

Form

Weight: $[2, 2]$
Level: $[2, 2, -w - 11]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $24$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, -w - 11]$ $-1$
3 $[3, 3, w]$ $-1$
7 $[7, 7, w + 2]$ $-2$
7 $[7, 7, w + 5]$ $\phantom{-}3$
17 $[17, 17, w + 2]$ $\phantom{-}2$
17 $[17, 17, w + 15]$ $-3$
19 $[19, 19, w + 3]$ $\phantom{-}0$
19 $[19, 19, w + 16]$ $\phantom{-}5$
23 $[23, 23, -w - 10]$ $\phantom{-}6$
23 $[23, 23, w - 10]$ $\phantom{-}1$
25 $[25, 5, -5]$ $-4$
29 $[29, 29, w + 6]$ $\phantom{-}10$
29 $[29, 29, w + 23]$ $\phantom{-}0$
37 $[37, 37, 9w + 100]$ $-2$
37 $[37, 37, -2w - 23]$ $\phantom{-}8$
41 $[41, 41, w]$ $\phantom{-}8$
53 $[53, 53, w + 21]$ $-9$
53 $[53, 53, w + 32]$ $-4$
59 $[59, 59, -w - 8]$ $\phantom{-}0$
59 $[59, 59, w - 8]$ $\phantom{-}10$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$2$ $[2, 2, -w - 11]$ $1$