Properties

Label 3.3.1620.1-10.2-b
Base field 3.3.1620.1
Weight $[2, 2, 2]$
Level norm $10$
Level $[10, 10, w^{2} - w - 12]$
Dimension $1$
CM no
Base change no

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Base field 3.3.1620.1

Generator \(w\), with minimal polynomial \(x^{3} - 12x - 14\); narrow class number \(1\) and class number \(1\).

Form

Weight: $[2, 2, 2]$
Level: $[10, 10, w^{2} - w - 12]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $10$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
2 $[2, 2, -w - 2]$ $-1$
3 $[3, 3, w + 1]$ $-1$
5 $[5, 5, -w - 3]$ $\phantom{-}1$
5 $[5, 5, -2w^{2} + 3w + 19]$ $\phantom{-}2$
7 $[7, 7, -w^{2} + 2w + 7]$ $\phantom{-}4$
13 $[13, 13, w^{2} - 3w - 5]$ $-4$
17 $[17, 17, w^{2} - w - 3]$ $-1$
23 $[23, 23, -w + 3]$ $\phantom{-}0$
37 $[37, 37, 3w + 5]$ $\phantom{-}2$
43 $[43, 43, w^{2} + 3w + 3]$ $-5$
47 $[47, 47, -w^{2} + 3]$ $\phantom{-}6$
49 $[49, 7, -w^{2} + 5]$ $\phantom{-}1$
53 $[53, 53, -w^{2} + w + 13]$ $\phantom{-}4$
61 $[61, 61, -w^{2} + 15]$ $\phantom{-}10$
61 $[61, 61, w^{2} - 2w - 13]$ $\phantom{-}0$
61 $[61, 61, -4w - 5]$ $-2$
67 $[67, 67, -2w^{2} + 6w + 13]$ $\phantom{-}5$
73 $[73, 73, 2w^{2} - 2w - 17]$ $-6$
79 $[79, 79, -w - 5]$ $\phantom{-}4$
79 $[79, 79, 2w^{2} - 4w - 17]$ $\phantom{-}8$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$2$ $[2, 2, -w - 2]$ $1$
$5$ $[5, 5, -w - 3]$ $-1$