Properties

Base field \(\Q(\sqrt{26}) \)
Weight [2, 2]
Level norm 26
Level $[26, 26, w]$
Label 2.2.104.1-26.1-b
Dimension 1
CM no
Base change yes

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Base field \(\Q(\sqrt{26}) \)

Generator \(w\), with minimal polynomial \(x^{2} - 26\); narrow class number \(2\) and class number \(2\).

Form

Weight [2, 2]
Level $[26, 26, w]$
Label 2.2.104.1-26.1-b
Dimension 1
Is CM no
Is base change yes
Parent newspace dimension 48

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, w]$ $\phantom{-}1$
5 $[5, 5, w + 1]$ $-1$
5 $[5, 5, w + 4]$ $-1$
9 $[9, 3, 3]$ $\phantom{-}3$
11 $[11, 11, w + 2]$ $-2$
11 $[11, 11, w + 9]$ $-2$
13 $[13, 13, w]$ $-1$
17 $[17, 17, w + 3]$ $-3$
17 $[17, 17, -w + 3]$ $-3$
19 $[19, 19, w + 8]$ $\phantom{-}6$
19 $[19, 19, w + 11]$ $\phantom{-}6$
23 $[23, 23, -w - 7]$ $-4$
23 $[23, 23, w - 7]$ $-4$
37 $[37, 37, w + 10]$ $\phantom{-}3$
37 $[37, 37, w + 27]$ $\phantom{-}3$
49 $[49, 7, -7]$ $-13$
59 $[59, 59, w + 12]$ $-10$
59 $[59, 59, w + 47]$ $-10$
67 $[67, 67, w + 19]$ $-2$
67 $[67, 67, w + 48]$ $-2$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
2 $[2, 2, w]$ $-1$
13 $[13, 13, w]$ $1$