Properties

Label 5.5.24217.1-23.1-b
Base field 5.5.24217.1
Weight $[2, 2, 2, 2, 2]$
Level norm $23$
Level $[23, 23, w^3 - 3 w]$
Dimension $2$
CM no
Base change no

Related objects

Downloads

Learn more

Base field 5.5.24217.1

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

Form

Weight: $[2, 2, 2, 2, 2]$
Level: $[23, 23, w^3 - 3 w]$
Dimension: $2$
CM: no
Base change: no
Newspace dimension: $3$

Hecke eigenvalues ($q$-expansion)

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

\(x^2 - x - 8\)

  Show full eigenvalues   Hide large eigenvalues

Norm Prime Eigenvalue
5 $[5, 5, -2 w^4 + w^3 + 9 w^2 - 2 w - 3]$ $\phantom{-}e$
17 $[17, 17, -2 w^4 + w^3 + 9 w^2 - 3 w - 5]$ $-e + 2$
17 $[17, 17, w^2 - 2]$ $-e + 2$
23 $[23, 23, w^3 - 3 w]$ $\phantom{-}1$
29 $[29, 29, 2 w^4 - w^3 - 10 w^2 + 2 w + 4]$ $\phantom{-}e + 2$
32 $[32, 2, 2]$ $\phantom{-}2 e - 1$
37 $[37, 37, -w^4 + w^3 + 4 w^2 - 2 w]$ $-e$
41 $[41, 41, -3 w^4 + 2 w^3 + 14 w^2 - 5 w - 7]$ $\phantom{-}e - 8$
43 $[43, 43, -3 w^4 + w^3 + 14 w^2 - 3 w - 6]$ $\phantom{-}0$
47 $[47, 47, -3 w^4 + 2 w^3 + 14 w^2 - 7 w - 6]$ $-2 e - 6$
53 $[53, 53, 2 w^4 - w^3 - 8 w^2 + 2 w + 1]$ $-e - 6$
53 $[53, 53, -2 w^4 + w^3 + 10 w^2 - 4 w - 6]$ $-3 e + 6$
59 $[59, 59, -w^4 + 4 w^2 + 1]$ $-2 e + 6$
59 $[59, 59, -3 w^4 + 2 w^3 + 14 w^2 - 6 w - 8]$ $\phantom{-}2 e + 4$
61 $[61, 61, 4 w^4 - 2 w^3 - 18 w^2 + 5 w + 7]$ $-e + 2$
61 $[61, 61, 3 w^4 - w^3 - 15 w^2 + 2 w + 7]$ $-e + 2$
73 $[73, 73, -4 w^4 + 2 w^3 + 18 w^2 - 7 w - 6]$ $-3 e + 4$
83 $[83, 83, -2 w^4 + 9 w^2 + 2 w - 4]$ $\phantom{-}2 e + 6$
83 $[83, 83, -2 w^4 + 2 w^3 + 10 w^2 - 7 w - 6]$ $-4 e - 2$
97 $[97, 97, -2 w^4 + w^3 + 8 w^2 - 3 w + 1]$ $\phantom{-}5 e + 2$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$23$ $[23, 23, w^3 - 3 w]$ $-1$