Properties

Label 2.2.281.1-8.1-e
Base field \(\Q(\sqrt{281}) \)
Weight $[2, 2]$
Level norm $8$
Level $[8, 4, 2w + 16]$
Dimension $1$
CM no
Base change no

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Base field \(\Q(\sqrt{281}) \)

Generator \(w\), with minimal polynomial \(x^{2} - x - 70\); narrow class number \(1\) and class number \(1\).

Form

Weight: $[2, 2]$
Level: $[8, 4, 2w + 16]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $13$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, w + 8]$ $\phantom{-}0$
2 $[2, 2, -w + 9]$ $-1$
5 $[5, 5, -76w + 675]$ $-3$
5 $[5, 5, 76w + 599]$ $\phantom{-}0$
7 $[7, 7, -8w - 63]$ $\phantom{-}2$
7 $[7, 7, -8w + 71]$ $-4$
9 $[9, 3, 3]$ $\phantom{-}2$
17 $[17, 17, 42w + 331]$ $\phantom{-}2$
17 $[17, 17, 42w - 373]$ $\phantom{-}8$
29 $[29, 29, -6w - 47]$ $\phantom{-}2$
29 $[29, 29, 6w - 53]$ $-1$
31 $[31, 31, 10w + 79]$ $-6$
31 $[31, 31, -10w + 89]$ $\phantom{-}6$
43 $[43, 43, 2w - 19]$ $-12$
43 $[43, 43, -2w - 17]$ $-12$
53 $[53, 53, 194w + 1529]$ $\phantom{-}10$
53 $[53, 53, -194w + 1723]$ $\phantom{-}1$
59 $[59, 59, -110w - 867]$ $\phantom{-}12$
59 $[59, 59, 110w - 977]$ $-3$
79 $[79, 79, 650w - 5773]$ $-5$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$2$ $[2, 2, w + 8]$ $-1$
$2$ $[2, 2, -w + 9]$ $1$