Properties

Label 2.2.232.1-32.1-a
Base field \(\Q(\sqrt{58}) \)
Weight $[2, 2]$
Level norm $32$
Level $[32, 8, 4w]$
Dimension $1$
CM yes
Base change yes

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Base field \(\Q(\sqrt{58}) \)

Generator \(w\), with minimal polynomial \(x^{2} - 58\); narrow class number \(2\) and class number \(2\).

Form

Weight: $[2, 2]$
Level: $[32, 8, 4w]$
Dimension: $1$
CM: yes
Base change: yes
Newspace dimension: $200$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, w]$ $\phantom{-}0$
3 $[3, 3, w + 1]$ $\phantom{-}0$
3 $[3, 3, w + 2]$ $\phantom{-}0$
7 $[7, 7, -2w + 15]$ $\phantom{-}0$
7 $[7, 7, -2w - 15]$ $\phantom{-}0$
11 $[11, 11, w + 5]$ $\phantom{-}0$
11 $[11, 11, w + 6]$ $\phantom{-}0$
19 $[19, 19, w + 1]$ $\phantom{-}0$
19 $[19, 19, w + 18]$ $\phantom{-}0$
23 $[23, 23, w + 9]$ $\phantom{-}0$
23 $[23, 23, -w + 9]$ $\phantom{-}0$
25 $[25, 5, 5]$ $-6$
29 $[29, 29, w]$ $\phantom{-}10$
37 $[37, 37, w + 13]$ $\phantom{-}2$
37 $[37, 37, w + 24]$ $\phantom{-}2$
43 $[43, 43, w + 12]$ $\phantom{-}0$
43 $[43, 43, w + 31]$ $\phantom{-}0$
61 $[61, 61, w + 27]$ $\phantom{-}10$
61 $[61, 61, w + 34]$ $\phantom{-}10$
71 $[71, 71, 12w - 91]$ $\phantom{-}0$
Display number of eigenvalues

Atkin-Lehner eigenvalues

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