Properties

Label 3.3.892.1-8.4-a
Base field 3.3.892.1
Weight $[2, 2, 2]$
Level norm $8$
Level $[8, 8, -w^{2} + 9]$
Dimension $2$
CM no
Base change no

Related objects

Downloads

Learn more

Base field 3.3.892.1

Generator \(w\), with minimal polynomial \(x^{3} - x^{2} - 8x + 10\); narrow class number \(2\) and class number \(1\).

Form

Weight: $[2, 2, 2]$
Level: $[8, 8, -w^{2} + 9]$
Dimension: $2$
CM: no
Base change: no
Newspace dimension: $2$

Hecke eigenvalues ($q$-expansion)

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

\(x^{2} - 2\)

  Show full eigenvalues   Hide large eigenvalues

Norm Prime Eigenvalue
2 $[2, 2, -w + 2]$ $\phantom{-}e$
2 $[2, 2, -w + 1]$ $\phantom{-}0$
5 $[5, 5, -w^{2} - w + 5]$ $-e$
7 $[7, 7, w^{2} + w - 9]$ $-e$
13 $[13, 13, -w^{2} - w + 7]$ $\phantom{-}2e$
19 $[19, 19, w^{2} - w - 1]$ $\phantom{-}3e$
25 $[25, 5, -w^{2} + w + 3]$ $-2e$
27 $[27, 3, 3]$ $\phantom{-}2$
31 $[31, 31, -w^{2} + w + 11]$ $\phantom{-}6$
43 $[43, 43, -3w^{2} - w + 21]$ $\phantom{-}0$
47 $[47, 47, 2w - 1]$ $\phantom{-}10$
49 $[49, 7, 4w^{2} + 2w - 29]$ $\phantom{-}2e$
61 $[61, 61, 2w^{2} + 2w - 9]$ $-5e$
71 $[71, 71, w^{2} + w - 11]$ $\phantom{-}16$
71 $[71, 71, -w^{2} - 3w + 7]$ $\phantom{-}e$
71 $[71, 71, 2w^{2} + 2w - 13]$ $\phantom{-}9e$
79 $[79, 79, w^{2} + 3w - 1]$ $\phantom{-}8$
79 $[79, 79, w^{2} + w - 1]$ $\phantom{-}8$
79 $[79, 79, -w^{2} - 3w - 1]$ $\phantom{-}8$
83 $[83, 83, w^{2} - w - 7]$ $-4$
Display number of eigenvalues

Atkin-Lehner eigenvalues

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