Base field 4.4.12725.1
Generator \(w\), with minimal polynomial \(x^4 - 2 x^3 - 10 x^2 + 11 x + 29\); narrow class number \(1\) and class number \(1\).
Form
| Weight: | $[2, 2, 2, 2]$ |
| Level: | $[25, 5, -2 w^2 + 2 w + 11]$ |
| Dimension: | $1$ |
| CM: | no |
| Base change: | no |
| Newspace dimension: | $29$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
| Norm | Prime | Eigenvalue |
|---|---|---|
| 11 | $[11, 11, -w - 1]$ | $-3$ |
| 11 | $[11, 11, w^2 - 5]$ | $\phantom{-}5$ |
| 11 | $[11, 11, -w^2 + 2 w + 4]$ | $-4$ |
| 11 | $[11, 11, w - 2]$ | $\phantom{-}6$ |
| 16 | $[16, 2, 2]$ | $-5$ |
| 19 | $[19, 19, w^2 - 2 w - 5]$ | $\phantom{-}4$ |
| 19 | $[19, 19, -w^2 + 6]$ | $-5$ |
| 25 | $[25, 5, -2 w^2 + 2 w + 11]$ | $-1$ |
| 29 | $[29, 29, w]$ | $\phantom{-}2$ |
| 29 | $[29, 29, 2 w^2 - w - 10]$ | $\phantom{-}2$ |
| 29 | $[29, 29, -2 w^2 + 3 w + 9]$ | $\phantom{-}2$ |
| 29 | $[29, 29, w - 1]$ | $-7$ |
| 31 | $[31, 31, w^3 - 6 w - 6]$ | $\phantom{-}4$ |
| 31 | $[31, 31, -w^3 + 3 w^2 + 3 w - 11]$ | $\phantom{-}4$ |
| 41 | $[41, 41, w^3 - 4 w^2 - 2 w + 16]$ | $\phantom{-}11$ |
| 41 | $[41, 41, w^3 - 5 w^2 - 2 w + 24]$ | $\phantom{-}2$ |
| 59 | $[59, 59, w^3 - w^2 - 5 w - 2]$ | $-5$ |
| 59 | $[59, 59, 2 w^2 - w - 13]$ | $-5$ |
| 61 | $[61, 61, w^3 - w^2 - 6 w + 3]$ | $-1$ |
| 61 | $[61, 61, -w^3 + 2 w^2 + 5 w - 3]$ | $\phantom{-}8$ |
Atkin-Lehner eigenvalues
| Norm | Prime | Eigenvalue |
|---|---|---|
| $25$ | $[25, 5, -2 w^2 + 2 w + 11]$ | $1$ |