Properties

Label 2.2.168.1-14.1-l
Base field \(\Q(\sqrt{42}) \)
Weight $[2, 2]$
Level norm $14$
Level $[14, 14, w]$
Dimension $1$
CM no
Base change no

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Base field \(\Q(\sqrt{42}) \)

Generator \(w\), with minimal polynomial \(x^{2} - 42\); narrow class number \(4\) and class number \(2\).

Form

Weight: $[2, 2]$
Level: $[14, 14, w]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $52$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, w]$ $-1$
3 $[3, 3, w]$ $\phantom{-}1$
7 $[7, 7, w - 7]$ $\phantom{-}1$
11 $[11, 11, w + 3]$ $\phantom{-}3$
11 $[11, 11, w + 8]$ $-6$
13 $[13, 13, w + 4]$ $-4$
13 $[13, 13, w + 9]$ $\phantom{-}5$
17 $[17, 17, -w - 5]$ $\phantom{-}6$
17 $[17, 17, -w + 5]$ $\phantom{-}0$
19 $[19, 19, w + 2]$ $-4$
19 $[19, 19, w + 17]$ $-1$
25 $[25, 5, 5]$ $\phantom{-}8$
29 $[29, 29, w + 10]$ $-3$
29 $[29, 29, w + 19]$ $-6$
41 $[41, 41, -w - 1]$ $-12$
41 $[41, 41, w - 1]$ $\phantom{-}3$
47 $[47, 47, -2w + 11]$ $-6$
47 $[47, 47, 4w - 25]$ $\phantom{-}0$
53 $[53, 53, w + 25]$ $\phantom{-}3$
53 $[53, 53, w + 28]$ $-6$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$2$ $[2, 2, w]$ $1$
$7$ $[7, 7, w - 7]$ $-1$