Base field 3.3.1373.1
Generator \(w\), with minimal polynomial \(x^{3} - 8x - 5\); narrow class number \(1\) and class number \(1\).
Form
Weight: | $[2, 2, 2]$ |
Level: | $[10, 10, -2w^{2} + w + 15]$ |
Dimension: | $1$ |
CM: | no |
Base change: | no |
Newspace dimension: | $7$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
Norm | Prime | Eigenvalue |
---|---|---|
2 | $[2, 2, -w - 1]$ | $-1$ |
3 | $[3, 3, w + 2]$ | $\phantom{-}1$ |
4 | $[4, 2, w^{2} - w - 7]$ | $\phantom{-}1$ |
5 | $[5, 5, w]$ | $-1$ |
9 | $[9, 3, -w^{2} + 2w + 4]$ | $\phantom{-}1$ |
13 | $[13, 13, -w + 2]$ | $\phantom{-}1$ |
25 | $[25, 5, w^{2} - 8]$ | $\phantom{-}1$ |
29 | $[29, 29, 2w + 3]$ | $\phantom{-}3$ |
37 | $[37, 37, w + 4]$ | $-11$ |
37 | $[37, 37, -3w^{2} + 2w + 24]$ | $\phantom{-}4$ |
37 | $[37, 37, w^{2} + 2w - 2]$ | $-10$ |
47 | $[47, 47, w^{2} - 2]$ | $-3$ |
53 | $[53, 53, w^{2} - 2w - 6]$ | $\phantom{-}0$ |
61 | $[61, 61, w^{2} + 2w + 2]$ | $-8$ |
71 | $[71, 71, 2w - 1]$ | $\phantom{-}0$ |
71 | $[71, 71, -w^{2} + 4w + 2]$ | $\phantom{-}6$ |
71 | $[71, 71, -w^{2} + 4w - 2]$ | $\phantom{-}3$ |
73 | $[73, 73, -w^{2} + 4w + 4]$ | $-11$ |
79 | $[79, 79, -2w + 7]$ | $-8$ |
83 | $[83, 83, -2w^{2} + 13]$ | $-9$ |
Atkin-Lehner eigenvalues
Norm | Prime | Eigenvalue |
---|---|---|
$2$ | $[2, 2, -w - 1]$ | $1$ |
$5$ | $[5, 5, w]$ | $1$ |