Properties

Label 2.2.221.1-17.1-d
Base field \(\Q(\sqrt{221}) \)
Weight $[2, 2]$
Level norm $17$
Level $[17, 17, -w - 8]$
Dimension $1$
CM no
Base change yes

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Base field \(\Q(\sqrt{221}) \)

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

Form

Weight: $[2, 2]$
Level: $[17, 17, -w - 8]$
Dimension: $1$
CM: no
Base change: yes
Newspace dimension: $164$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
4 $[4, 2, 2]$ $-3$
5 $[5, 5, w]$ $-2$
5 $[5, 5, w + 4]$ $-2$
7 $[7, 7, w + 2]$ $\phantom{-}4$
7 $[7, 7, w + 4]$ $\phantom{-}4$
9 $[9, 3, 3]$ $-6$
11 $[11, 11, w]$ $\phantom{-}0$
11 $[11, 11, w + 10]$ $\phantom{-}0$
13 $[13, 13, w + 6]$ $-2$
17 $[17, 17, -w - 8]$ $\phantom{-}1$
31 $[31, 31, w + 14]$ $\phantom{-}4$
31 $[31, 31, w + 16]$ $\phantom{-}4$
37 $[37, 37, w + 15]$ $-2$
37 $[37, 37, w + 21]$ $-2$
41 $[41, 41, w + 18]$ $-6$
41 $[41, 41, w + 22]$ $-6$
43 $[43, 43, -w - 3]$ $\phantom{-}4$
43 $[43, 43, w - 4]$ $\phantom{-}4$
53 $[53, 53, -w - 1]$ $\phantom{-}6$
53 $[53, 53, w - 2]$ $\phantom{-}6$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$17$ $[17, 17, -w - 8]$ $-1$