Base field \(\Q(\sqrt{73}) \)
Generator \(w\), with minimal polynomial \(x^{2} - x - 18\); narrow class number \(1\) and class number \(1\).
Form
| Weight: | $[2, 2]$ |
| Level: | $[81, 27, -6w + 27]$ |
| Dimension: | $1$ |
| CM: | no |
| Base change: | no |
| Newspace dimension: | $58$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
| Norm | Prime | Eigenvalue |
|---|---|---|
| 2 | $[2, 2, -w - 4]$ | $\phantom{-}2$ |
| 2 | $[2, 2, w - 5]$ | $\phantom{-}1$ |
| 3 | $[3, 3, -4w - 15]$ | $\phantom{-}0$ |
| 3 | $[3, 3, -4w + 19]$ | $\phantom{-}1$ |
| 19 | $[19, 19, -6w - 23]$ | $\phantom{-}1$ |
| 19 | $[19, 19, 6w - 29]$ | $\phantom{-}7$ |
| 23 | $[23, 23, 14w - 67]$ | $-4$ |
| 23 | $[23, 23, -14w - 53]$ | $\phantom{-}4$ |
| 25 | $[25, 5, -5]$ | $-1$ |
| 37 | $[37, 37, 2w - 7]$ | $\phantom{-}11$ |
| 37 | $[37, 37, -2w - 5]$ | $\phantom{-}2$ |
| 41 | $[41, 41, 30w - 143]$ | $\phantom{-}6$ |
| 41 | $[41, 41, 40w - 191]$ | $\phantom{-}0$ |
| 49 | $[49, 7, -7]$ | $\phantom{-}1$ |
| 61 | $[61, 61, 10w + 37]$ | $\phantom{-}6$ |
| 61 | $[61, 61, -10w + 47]$ | $\phantom{-}9$ |
| 67 | $[67, 67, -4w - 13]$ | $-12$ |
| 67 | $[67, 67, 4w - 17]$ | $\phantom{-}3$ |
| 71 | $[71, 71, 2w - 13]$ | $\phantom{-}12$ |
| 71 | $[71, 71, -2w - 11]$ | $-6$ |
Atkin-Lehner eigenvalues
| Norm | Prime | Eigenvalue |
|---|---|---|
| $3$ | $[3, 3, -4w - 15]$ | $-1$ |
| $3$ | $[3, 3, -4w + 19]$ | $-1$ |