Properties

Label 2.2.220.1-11.1-a
Base field \(\Q(\sqrt{55}) \)
Weight $[2, 2]$
Level norm $11$
Level $[11, 11, 3w - 22]$
Dimension $1$
CM no
Base change yes

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Base field \(\Q(\sqrt{55}) \)

Generator \(w\), with minimal polynomial \(x^{2} - 55\); narrow class number \(4\) and class number \(2\).

Form

Weight: $[2, 2]$
Level: $[11, 11, 3w - 22]$
Dimension: $1$
CM: no
Base change: yes
Newspace dimension: $124$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, w + 1]$ $-2$
3 $[3, 3, w + 1]$ $\phantom{-}1$
3 $[3, 3, w + 2]$ $\phantom{-}1$
5 $[5, 5, -2w + 15]$ $\phantom{-}1$
11 $[11, 11, 3w - 22]$ $-1$
13 $[13, 13, w + 4]$ $\phantom{-}4$
13 $[13, 13, w + 9]$ $\phantom{-}4$
17 $[17, 17, w + 2]$ $-2$
17 $[17, 17, w + 15]$ $-2$
19 $[19, 19, -w - 6]$ $\phantom{-}0$
19 $[19, 19, w - 6]$ $\phantom{-}0$
23 $[23, 23, w + 3]$ $\phantom{-}1$
23 $[23, 23, w + 20]$ $\phantom{-}1$
47 $[47, 47, w + 14]$ $-8$
47 $[47, 47, w + 33]$ $-8$
49 $[49, 7, -7]$ $-10$
67 $[67, 67, w + 16]$ $\phantom{-}7$
67 $[67, 67, w + 51]$ $\phantom{-}7$
73 $[73, 73, w + 36]$ $\phantom{-}4$
73 $[73, 73, w + 37]$ $\phantom{-}4$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$11$ $[11, 11, 3w - 22]$ $1$