Properties

Base field 3.3.321.1
Weight [2, 2, 2]
Level norm 9
Level $[9, 9, w^{2} - w - 2]$
Label 3.3.321.1-9.3-b
Dimension 1
CM yes
Base change no

Related objects

Downloads

Learn more about

Base field 3.3.321.1

Generator \(w\), with minimal polynomial \(x^{3} - x^{2} - 4x + 1\); narrow class number \(1\) and class number \(1\).

Form

Weight [2, 2, 2]
Level $[9, 9, w^{2} - w - 2]$
Label 3.3.321.1-9.3-b
Dimension 1
Is CM yes
Is base change no
Parent newspace dimension 2

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
3 $[3, 3, w + 1]$ $\phantom{-}0$
3 $[3, 3, w - 1]$ $-3$
7 $[7, 7, w^{2} - 2]$ $-5$
8 $[8, 2, 2]$ $\phantom{-}0$
11 $[11, 11, -w^{2} + w + 1]$ $\phantom{-}0$
23 $[23, 23, -w - 3]$ $\phantom{-}0$
29 $[29, 29, -w^{2} + 2w + 4]$ $\phantom{-}0$
31 $[31, 31, 2w - 3]$ $-11$
41 $[41, 41, -2w^{2} + 3w + 6]$ $\phantom{-}0$
43 $[43, 43, w^{2} - 3w + 3]$ $-13$
47 $[47, 47, w^{2} + w - 4]$ $\phantom{-}0$
49 $[49, 7, 2w^{2} - 3w - 3]$ $-11$
53 $[53, 53, w^{2} - 3w - 2]$ $\phantom{-}0$
59 $[59, 59, 2w^{2} - w - 5]$ $\phantom{-}0$
59 $[59, 59, w^{2} - w - 7]$ $\phantom{-}0$
59 $[59, 59, -w^{2} - w + 7]$ $\phantom{-}0$
67 $[67, 67, 2w^{2} - 3w - 7]$ $-5$
73 $[73, 73, -w^{2} + 4w - 5]$ $\phantom{-}7$
79 $[79, 79, w^{2} - 8]$ $-13$
79 $[79, 79, w^{2} - 5w + 5]$ $-17$
Display number of eigenvalues

Atkin-Lehner eigenvalues

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