Properties

Label 3.3.473.1-27.2-a
Base field 3.3.473.1
Weight $[2, 2, 2]$
Level norm $27$
Level $[27, 27, -2w + 1]$
Dimension $1$
CM no
Base change no

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Base field 3.3.473.1

Generator \(w\), with minimal polynomial \(x^{3} - 5x - 1\); narrow class number \(1\) and class number \(1\).

Form

Weight: $[2, 2, 2]$
Level: $[27, 27, -2w + 1]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $6$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
3 $[3, 3, w + 1]$ $\phantom{-}0$
5 $[5, 5, w - 1]$ $\phantom{-}1$
8 $[8, 2, 2]$ $\phantom{-}5$
9 $[9, 3, -w^{2} + w + 4]$ $-2$
11 $[11, 11, -w^{2} + 3]$ $-4$
11 $[11, 11, -w^{2} - w + 1]$ $\phantom{-}2$
13 $[13, 13, w + 3]$ $\phantom{-}2$
17 $[17, 17, -w^{2} + 2]$ $\phantom{-}0$
25 $[25, 5, w^{2} + w - 4]$ $\phantom{-}4$
37 $[37, 37, w^{2} + w - 5]$ $\phantom{-}4$
41 $[41, 41, 2w^{2} + w - 6]$ $-8$
43 $[43, 43, w^{2} - 3w - 2]$ $\phantom{-}9$
43 $[43, 43, -w + 4]$ $\phantom{-}4$
71 $[71, 71, w^{2} - 8]$ $\phantom{-}4$
73 $[73, 73, 3w + 5]$ $-9$
73 $[73, 73, w^{2} - 2w - 5]$ $-2$
73 $[73, 73, w^{2} - 2w - 7]$ $\phantom{-}8$
79 $[79, 79, 2w^{2} + w - 9]$ $\phantom{-}1$
83 $[83, 83, 3w^{2} - 2w - 13]$ $-1$
89 $[89, 89, -w^{2} - 2w + 9]$ $\phantom{-}9$
Display number of eigenvalues

Atkin-Lehner eigenvalues

The Atkin-Lehner eigenvalues for this form are not in the database.