Base field 5.5.81589.1
Generator \(w\), with minimal polynomial \(x^{5} - 6x^{3} + 8x - 1\); narrow class number \(2\) and class number \(1\).
Form
Weight: | $[2, 2, 2, 2, 2]$ |
Level: | $[32, 32, w^{4} + w^{3} - 5w^{2} - 4w + 5]$ |
Dimension: | $1$ |
CM: | no |
Base change: | no |
Newspace dimension: | $8$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
Norm | Prime | Eigenvalue |
---|---|---|
2 | $[2, 2, w^{2} - 3]$ | $\phantom{-}0$ |
11 | $[11, 11, -w^{4} + 5w^{2} + w - 4]$ | $\phantom{-}4$ |
13 | $[13, 13, -w^{3} + w^{2} + 3w - 4]$ | $-2$ |
16 | $[16, 2, w^{4} - w^{3} - 3w^{2} + 3w - 1]$ | $\phantom{-}5$ |
17 | $[17, 17, w^{4} - 4w^{2} + 2]$ | $-6$ |
31 | $[31, 31, w^{4} - 4w^{2} - w + 3]$ | $\phantom{-}8$ |
43 | $[43, 43, -w^{3} + 4w - 2]$ | $\phantom{-}4$ |
53 | $[53, 53, w^{4} - 3w^{2} - 1]$ | $-6$ |
53 | $[53, 53, w^{4} - w^{3} - 4w^{2} + 2w + 1]$ | $\phantom{-}2$ |
53 | $[53, 53, -w^{3} - w^{2} + 3w + 4]$ | $-6$ |
61 | $[61, 61, -w^{3} + w^{2} + 5w - 2]$ | $-10$ |
61 | $[61, 61, w^{4} - 4w^{2} + w + 1]$ | $\phantom{-}2$ |
61 | $[61, 61, w^{3} + w^{2} - 4w - 3]$ | $-2$ |
67 | $[67, 67, -2w^{3} + w^{2} + 6w - 2]$ | $-8$ |
71 | $[71, 71, -2w^{3} + w^{2} + 7w - 3]$ | $-8$ |
71 | $[71, 71, 2w^{4} - 4w^{3} - 7w^{2} + 13w - 1]$ | $\phantom{-}4$ |
73 | $[73, 73, -w^{4} + 2w^{3} + 3w^{2} - 7w]$ | $\phantom{-}10$ |
73 | $[73, 73, w^{4} + w^{3} - 3w^{2} - 4w - 2]$ | $\phantom{-}2$ |
79 | $[79, 79, w^{4} - w^{3} - 5w^{2} + 4w + 6]$ | $\phantom{-}12$ |
83 | $[83, 83, -2w^{4} + w^{3} + 9w^{2} - 3w - 6]$ | $-4$ |
Atkin-Lehner eigenvalues
The Atkin-Lehner eigenvalues for this form are not in the database.