Properties

Base field \(\Q(\sqrt{29}) \)
Weight [2, 2]
Level norm 4
Level $[4, 2, 2]$
Label 2.2.29.1-4.1-a
Dimension 1
CM no
Base change yes

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Base field \(\Q(\sqrt{29}) \)

Generator \(w\), with minimal polynomial \(x^{2} - x - 7\); narrow class number \(1\) and class number \(1\).

Form

Weight [2, 2]
Level $[4, 2, 2]$
Label 2.2.29.1-4.1-a
Dimension 1
Is CM no
Is base change yes
Parent newspace dimension 1

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
4 $[4, 2, 2]$ $-1$
5 $[5, 5, w + 1]$ $\phantom{-}1$
5 $[5, 5, w - 2]$ $\phantom{-}1$
7 $[7, 7, w]$ $-2$
7 $[7, 7, -w + 1]$ $-2$
9 $[9, 3, 3]$ $\phantom{-}5$
13 $[13, 13, w + 4]$ $-1$
13 $[13, 13, w - 5]$ $-1$
23 $[23, 23, -w - 5]$ $-6$
23 $[23, 23, w - 6]$ $-6$
29 $[29, 29, 2w - 1]$ $\phantom{-}10$
53 $[53, 53, 3w - 5]$ $-1$
53 $[53, 53, -3w - 2]$ $-1$
59 $[59, 59, -3w - 1]$ $\phantom{-}10$
59 $[59, 59, 3w - 4]$ $\phantom{-}10$
67 $[67, 67, 3w - 13]$ $\phantom{-}8$
67 $[67, 67, -3w - 10]$ $\phantom{-}8$
71 $[71, 71, 2w - 11]$ $-8$
71 $[71, 71, -2w - 9]$ $-8$
83 $[83, 83, -w - 9]$ $\phantom{-}14$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
4 $[4, 2, 2]$ $1$