Base field \(\Q(\sqrt{213}) \)
Generator \(w\), with minimal polynomial \(x^{2} - x - 53\); narrow class number \(2\) and class number \(1\).
Form
| Weight: | $[2, 2]$ |
| Level: | $[25, 5, 5]$ |
| Dimension: | $1$ |
| CM: | no |
| Base change: | no |
| Newspace dimension: | $122$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
| Norm | Prime | Eigenvalue |
|---|---|---|
| 3 | $[3, 3, w - 8]$ | $-2$ |
| 4 | $[4, 2, 2]$ | $\phantom{-}0$ |
| 11 | $[11, 11, -w + 7]$ | $-6$ |
| 11 | $[11, 11, -w - 6]$ | $\phantom{-}6$ |
| 17 | $[17, 17, -2w + 15]$ | $-6$ |
| 17 | $[17, 17, -2w - 13]$ | $\phantom{-}6$ |
| 19 | $[19, 19, -w - 8]$ | $\phantom{-}1$ |
| 19 | $[19, 19, -w + 9]$ | $\phantom{-}1$ |
| 23 | $[23, 23, -w - 5]$ | $\phantom{-}4$ |
| 23 | $[23, 23, -w + 6]$ | $-4$ |
| 25 | $[25, 5, 5]$ | $\phantom{-}1$ |
| 37 | $[37, 37, -w - 9]$ | $-4$ |
| 37 | $[37, 37, w - 10]$ | $-4$ |
| 41 | $[41, 41, -w - 3]$ | $\phantom{-}0$ |
| 41 | $[41, 41, w - 4]$ | $\phantom{-}0$ |
| 43 | $[43, 43, -2w + 17]$ | $-4$ |
| 43 | $[43, 43, -7w + 55]$ | $-4$ |
| 47 | $[47, 47, -w - 2]$ | $\phantom{-}13$ |
| 47 | $[47, 47, w - 3]$ | $-13$ |
| 49 | $[49, 7, -7]$ | $\phantom{-}13$ |
Atkin-Lehner eigenvalues
| Norm | Prime | Eigenvalue |
|---|---|---|
| $25$ | $[25, 5, 5]$ | $-1$ |