Properties

Label 2.2.104.1-26.1-c
Base field \(\Q(\sqrt{26}) \)
Weight $[2, 2]$
Level norm $26$
Level $[26, 26, w]$
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: $[26, 26, w]$
Dimension: $1$
CM: no
Base change: yes
Newspace dimension: $48$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, w]$ $\phantom{-}1$
5 $[5, 5, w + 1]$ $\phantom{-}3$
5 $[5, 5, w + 4]$ $\phantom{-}3$
9 $[9, 3, 3]$ $-5$
11 $[11, 11, w + 2]$ $-6$
11 $[11, 11, w + 9]$ $-6$
13 $[13, 13, w]$ $-1$
17 $[17, 17, w + 3]$ $-3$
17 $[17, 17, -w + 3]$ $-3$
19 $[19, 19, w + 8]$ $-2$
19 $[19, 19, w + 11]$ $-2$
23 $[23, 23, -w - 7]$ $\phantom{-}0$
23 $[23, 23, w - 7]$ $\phantom{-}0$
37 $[37, 37, w + 10]$ $\phantom{-}7$
37 $[37, 37, w + 27]$ $\phantom{-}7$
49 $[49, 7, -7]$ $-13$
59 $[59, 59, w + 12]$ $\phantom{-}6$
59 $[59, 59, w + 47]$ $\phantom{-}6$
67 $[67, 67, w + 19]$ $-14$
67 $[67, 67, w + 48]$ $-14$
Display number of eigenvalues

Atkin-Lehner eigenvalues

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