Base field \(\Q(\sqrt{145}) \)
Generator \(w\), with minimal polynomial \(x^{2} - x - 36\); narrow class number \(4\) and class number \(4\).
Form
| Weight: | $[2, 2]$ |
| Level: | $[9, 3, 3]$ |
| Dimension: | $1$ |
| CM: | no |
| Base change: | yes |
| Newspace dimension: | $100$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
| Norm | Prime | Eigenvalue |
|---|---|---|
| 2 | $[2, 2, w]$ | $-2$ |
| 2 | $[2, 2, w + 1]$ | $-2$ |
| 3 | $[3, 3, w]$ | $\phantom{-}1$ |
| 3 | $[3, 3, w + 2]$ | $\phantom{-}1$ |
| 5 | $[5, 5, w + 2]$ | $\phantom{-}4$ |
| 17 | $[17, 17, w + 1]$ | $-6$ |
| 17 | $[17, 17, w + 15]$ | $-6$ |
| 29 | $[29, 29, w + 14]$ | $-4$ |
| 37 | $[37, 37, w + 10]$ | $-1$ |
| 37 | $[37, 37, w + 26]$ | $-1$ |
| 43 | $[43, 43, w + 19]$ | $-1$ |
| 43 | $[43, 43, w + 23]$ | $-1$ |
| 47 | $[47, 47, w + 22]$ | $\phantom{-}8$ |
| 47 | $[47, 47, w + 24]$ | $\phantom{-}8$ |
| 49 | $[49, 7, -7]$ | $-2$ |
| 59 | $[59, 59, w + 16]$ | $\phantom{-}8$ |
| 59 | $[59, 59, w + 42]$ | $\phantom{-}8$ |
| 71 | $[71, 71, w + 21]$ | $\phantom{-}2$ |
| 71 | $[71, 71, w + 49]$ | $\phantom{-}2$ |
| 73 | $[73, 73, w + 13]$ | $\phantom{-}15$ |
Atkin-Lehner eigenvalues
| Norm | Prime | Eigenvalue |
|---|---|---|
| $3$ | $[3, 3, w]$ | $-1$ |
| $3$ | $[3, 3, w + 2]$ | $-1$ |