Properties

Label 3.3.761.1-24.1-a
Base field 3.3.761.1
Weight $[2, 2, 2]$
Level norm $24$
Level $[24, 6, 2w + 2]$
Dimension $2$
CM no
Base change no

Related objects

Downloads

Learn more

Base field 3.3.761.1

Generator \(w\), with minimal polynomial \(x^{3} - x^{2} - 6x - 1\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2, 2]$
Level: $[24, 6, 2w + 2]$
Dimension: $2$
CM: no
Base change: no
Newspace dimension: $8$

Hecke eigenvalues ($q$-expansion)

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

\(x^{2} - 3x - 1\)

  Show full eigenvalues   Hide large eigenvalues

Norm Prime Eigenvalue
3 $[3, 3, w + 1]$ $\phantom{-}1$
7 $[7, 7, w - 1]$ $\phantom{-}e$
8 $[8, 2, 2]$ $-1$
9 $[9, 3, -w^{2} + 2w + 4]$ $\phantom{-}1$
11 $[11, 11, -w^{2} + 2w + 2]$ $\phantom{-}3$
13 $[13, 13, -w^{2} + w + 4]$ $\phantom{-}e - 3$
19 $[19, 19, w + 3]$ $-2e + 3$
19 $[19, 19, -w^{2} + 2w + 5]$ $\phantom{-}e$
19 $[19, 19, -w^{2} + 3w + 2]$ $\phantom{-}3e - 4$
23 $[23, 23, w^{2} - w - 3]$ $-3e + 6$
23 $[23, 23, -w^{2} + 2]$ $\phantom{-}3$
23 $[23, 23, -w + 4]$ $\phantom{-}3$
31 $[31, 31, w^{2} - 5]$ $\phantom{-}3e - 10$
43 $[43, 43, w^{2} - 3w - 3]$ $-2e + 9$
49 $[49, 7, w^{2} - 6]$ $\phantom{-}e$
53 $[53, 53, 2w - 5]$ $-6e + 9$
61 $[61, 61, 2w^{2} - 2w - 9]$ $-8e + 12$
71 $[71, 71, 2w - 3]$ $\phantom{-}3$
73 $[73, 73, 2w^{2} - 5w - 5]$ $-4$
83 $[83, 83, w^{2} - w - 9]$ $-9$
Display number of eigenvalues

Atkin-Lehner eigenvalues

Norm Prime Eigenvalue
$3$ $[3, 3, w + 1]$ $-1$
$8$ $[8, 2, 2]$ $1$