Base field \(\Q(\sqrt{67}) \)
Generator \(w\), with minimal polynomial \(x^{2} - 67\); narrow class number \(2\) and class number \(1\).
Form
Weight: | $[2, 2]$ |
Level: | $[9, 9, 16w + 131]$ |
Dimension: | $1$ |
CM: | yes |
Base change: | no |
Newspace dimension: | $48$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
Norm | Prime | Eigenvalue |
---|---|---|
2 | $[2, 2, -27w + 221]$ | $\phantom{-}0$ |
3 | $[3, 3, -w + 8]$ | $\phantom{-}0$ |
3 | $[3, 3, -w - 8]$ | $\phantom{-}0$ |
7 | $[7, 7, -11w + 90]$ | $\phantom{-}0$ |
7 | $[7, 7, -11w - 90]$ | $\phantom{-}0$ |
11 | $[11, 11, 6w - 49]$ | $\phantom{-}0$ |
11 | $[11, 11, 6w + 49]$ | $\phantom{-}0$ |
17 | $[17, 17, 4w + 33]$ | $-1$ |
17 | $[17, 17, -4w + 33]$ | $\phantom{-}1$ |
25 | $[25, 5, -5]$ | $-10$ |
29 | $[29, 29, -70w + 573]$ | $-7$ |
29 | $[29, 29, 151w - 1236]$ | $\phantom{-}7$ |
31 | $[31, 31, -w - 6]$ | $\phantom{-}0$ |
31 | $[31, 31, w - 6]$ | $\phantom{-}0$ |
37 | $[37, 37, -21w - 172]$ | $\phantom{-}9$ |
37 | $[37, 37, -21w + 172]$ | $\phantom{-}9$ |
43 | $[43, 43, 2w - 15]$ | $\phantom{-}0$ |
43 | $[43, 43, 2w + 15]$ | $\phantom{-}0$ |
67 | $[67, 67, -w]$ | $\phantom{-}0$ |
73 | $[73, 73, -3w - 26]$ | $\phantom{-}15$ |
Atkin-Lehner eigenvalues
Norm | Prime | Eigenvalue |
---|---|---|
$3$ | $[3, 3, -w - 8]$ | $-1$ |