Properties

Label 4.4.14272.1-27.2-a
Base field 4.4.14272.1
Weight $[2, 2, 2, 2]$
Level norm $27$
Level $[27, 27, w^{3} - 2w^{2} - 3w]$
Dimension $1$
CM no
Base change no

Related objects

Downloads

Learn more about

Base field 4.4.14272.1

Generator \(w\), with minimal polynomial \(x^{4} - 2x^{3} - 5x^{2} + 2x + 3\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2, 2, 2]$
Level: $[27, 27, w^{3} - 2w^{2} - 3w]$
Dimension: $1$
CM: no
Base change: no
Newspace dimension: $30$

Hecke eigenvalues ($q$-expansion)

The Hecke eigenvalue field is $\Q$.
Norm Prime Eigenvalue
3 $[3, 3, w]$ $\phantom{-}0$
4 $[4, 2, -w^{3} + 3w^{2} + w - 2]$ $\phantom{-}1$
11 $[11, 11, -w^{3} + 3w^{2} + 2w - 5]$ $\phantom{-}0$
13 $[13, 13, w^{3} - 2w^{2} - 4w + 2]$ $\phantom{-}4$
13 $[13, 13, -w + 2]$ $\phantom{-}5$
17 $[17, 17, w^{3} - 3w^{2} - 2w + 2]$ $-3$
19 $[19, 19, -w^{2} + w + 4]$ $-4$
19 $[19, 19, w^{3} - 2w^{2} - 3w + 2]$ $-5$
23 $[23, 23, w^{2} - 2w - 1]$ $\phantom{-}6$
27 $[27, 3, w^{3} - 2w^{2} - 5w - 1]$ $\phantom{-}8$
29 $[29, 29, -w^{3} + 2w^{2} + 5w - 1]$ $-9$
37 $[37, 37, -w^{3} + 2w^{2} + 5w - 4]$ $\phantom{-}7$
41 $[41, 41, 2w^{3} - 5w^{2} - 6w + 4]$ $-3$
53 $[53, 53, w^{3} - 2w^{2} - 3w - 2]$ $\phantom{-}9$
59 $[59, 59, w - 4]$ $-6$
67 $[67, 67, 2w^{2} - 3w - 8]$ $\phantom{-}8$
73 $[73, 73, 2w^{3} - 5w^{2} - 6w + 5]$ $\phantom{-}4$
89 $[89, 89, -2w^{3} + 6w^{2} + 5w - 7]$ $\phantom{-}12$
97 $[97, 97, -2w^{3} + 6w^{2} + 3w - 7]$ $\phantom{-}17$
97 $[97, 97, -w^{3} + 3w^{2} + 3w - 1]$ $\phantom{-}19$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$3$ $[3, 3, w]$ $1$