Base field \(\Q(\sqrt{59}) \)
Generator \(w\), with minimal polynomial \(x^{2} - 59\); narrow class number \(2\) and class number \(1\).
Form
| Weight: | $[2, 2]$ |
| Level: | $[25,25,7w + 54]$ |
| Dimension: | $1$ |
| CM: | yes |
| Base change: | no |
| Newspace dimension: | $130$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
| Norm | Prime | Eigenvalue |
|---|---|---|
| 2 | $[2, 2, -3w - 23]$ | $\phantom{-}0$ |
| 5 | $[5, 5, -w + 8]$ | $\phantom{-}0$ |
| 5 | $[5, 5, w + 8]$ | $-4$ |
| 9 | $[9, 3, 3]$ | $\phantom{-}0$ |
| 11 | $[11, 11, 2w + 15]$ | $\phantom{-}0$ |
| 11 | $[11, 11, 2w - 15]$ | $\phantom{-}0$ |
| 17 | $[17, 17, 4w - 31]$ | $-2$ |
| 17 | $[17, 17, -4w - 31]$ | $-8$ |
| 23 | $[23, 23, -w - 6]$ | $\phantom{-}0$ |
| 23 | $[23, 23, w - 6]$ | $\phantom{-}0$ |
| 29 | $[29, 29, 13w + 100]$ | $\phantom{-}4$ |
| 29 | $[29, 29, -10w - 77]$ | $\phantom{-}4$ |
| 31 | $[31, 31, 28w + 215]$ | $\phantom{-}0$ |
| 31 | $[31, 31, 5w + 38]$ | $\phantom{-}0$ |
| 41 | $[41, 41, -w - 10]$ | $\phantom{-}10$ |
| 41 | $[41, 41, w - 10]$ | $-10$ |
| 43 | $[43, 43, -w - 4]$ | $\phantom{-}0$ |
| 43 | $[43, 43, w - 4]$ | $\phantom{-}0$ |
| 47 | $[47, 47, 3w + 22]$ | $\phantom{-}0$ |
| 47 | $[47, 47, -3w + 22]$ | $\phantom{-}0$ |
Atkin-Lehner eigenvalues
| Norm | Prime | Eigenvalue |
|---|---|---|
| $5$ | $[5,5,-w + 8]$ | $-1$ |