Properties

Label 2.2.281.1-2.2-c
Base field \(\Q(\sqrt{281}) \)
Weight $[2, 2]$
Level norm $2$
Level $[2,2,-w + 9]$
Dimension $3$
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: $[2,2,-w + 9]$
Dimension: $3$
CM: no
Base change: no
Newspace dimension: $9$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q(e)$ where $e$ is a root of the defining polynomial:

\(x^{3} - 2x^{2} - 2x + 2\)

  Show full eigenvalues   Hide large eigenvalues

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

Atkin-Lehner eigenvalues

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