Base field 4.4.13725.1
Generator \(w\), with minimal polynomial \(x^{4} - x^{3} - 13x^{2} + x + 31\); narrow class number \(2\) and class number \(1\).
Form
Weight: | $[2, 2, 2, 2]$ |
Level: | $[16, 2, 2]$ |
Dimension: | $1$ |
CM: | no |
Base change: | no |
Newspace dimension: | $22$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
Norm | Prime | Eigenvalue |
---|---|---|
9 | $[9, 3, -2w^{3} + 6w^{2} + 13w - 26]$ | $\phantom{-}1$ |
11 | $[11, 11, w^{2} - w - 8]$ | $\phantom{-}5$ |
11 | $[11, 11, -4w^{3} + 13w^{2} + 23w - 55]$ | $-5$ |
16 | $[16, 2, 2]$ | $-1$ |
19 | $[19, 19, -w - 1]$ | $\phantom{-}4$ |
19 | $[19, 19, -w^{3} + 3w^{2} + 7w - 14]$ | $\phantom{-}4$ |
19 | $[19, 19, w^{3} - 4w^{2} - 5w + 20]$ | $\phantom{-}6$ |
19 | $[19, 19, -3w^{3} + 10w^{2} + 17w - 43]$ | $\phantom{-}6$ |
25 | $[25, 5, -w^{3} + 3w^{2} + 6w - 10]$ | $-10$ |
29 | $[29, 29, 4w^{3} - 13w^{2} - 23w + 57]$ | $-5$ |
29 | $[29, 29, w^{2} - w - 6]$ | $\phantom{-}5$ |
31 | $[31, 31, -2w^{3} + 7w^{2} + 11w - 31]$ | $\phantom{-}7$ |
31 | $[31, 31, -2w^{3} + 7w^{2} + 11w - 32]$ | $\phantom{-}7$ |
41 | $[41, 41, 3w^{3} - 10w^{2} - 18w + 43]$ | $\phantom{-}10$ |
41 | $[41, 41, 3w^{3} - 9w^{2} - 19w + 37]$ | $\phantom{-}0$ |
41 | $[41, 41, 2w^{3} - 6w^{2} - 11w + 24]$ | $\phantom{-}0$ |
41 | $[41, 41, -2w^{3} + 7w^{2} + 12w - 33]$ | $-10$ |
59 | $[59, 59, 3w^{3} - 10w^{2} - 17w + 46]$ | $-5$ |
59 | $[59, 59, -w^{3} + 4w^{2} + 5w - 17]$ | $\phantom{-}5$ |
61 | $[61, 61, 4w^{3} - 12w^{2} - 25w + 50]$ | $\phantom{-}12$ |
Atkin-Lehner eigenvalues
Norm | Prime | Eigenvalue |
---|---|---|
$16$ | $[16, 2, 2]$ | $1$ |