Base field 4.4.16997.1
Generator \(w\), with minimal polynomial \(x^4 - 6 x^2 - x + 5\); narrow class number \(1\) and class number \(1\).
Form
| Weight: | $[2, 2, 2, 2]$ |
| Level: | $[25, 5, -w^3 + w^2 + 3 w - 1]$ |
| Dimension: | $1$ |
| CM: | no |
| Base change: | no |
| Newspace dimension: | $51$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
| Norm | Prime | Eigenvalue |
|---|---|---|
| 5 | $[5, 5, w]$ | $-4$ |
| 5 | $[5, 5, -w^2 + w + 2]$ | $\phantom{-}1$ |
| 7 | $[7, 7, -w^2 + 2]$ | $\phantom{-}3$ |
| 13 | $[13, 13, -w^2 + 3]$ | $-6$ |
| 13 | $[13, 13, w^2 - w - 4]$ | $-6$ |
| 16 | $[16, 2, 2]$ | $\phantom{-}7$ |
| 19 | $[19, 19, -w^2 + w + 1]$ | $\phantom{-}0$ |
| 23 | $[23, 23, -w^3 + 4 w + 2]$ | $-6$ |
| 25 | $[25, 5, -w^3 + w^2 + 3 w - 1]$ | $\phantom{-}1$ |
| 29 | $[29, 29, w^3 - w^2 - 4 w + 1]$ | $\phantom{-}0$ |
| 29 | $[29, 29, -w + 3]$ | $\phantom{-}5$ |
| 31 | $[31, 31, -w^3 + w^2 + 5 w - 2]$ | $-3$ |
| 37 | $[37, 37, w^3 - 4 w - 1]$ | $-7$ |
| 37 | $[37, 37, w^3 - 3 w + 1]$ | $-2$ |
| 53 | $[53, 53, -w^3 + 2 w^2 + 4 w - 6]$ | $-6$ |
| 59 | $[59, 59, w^2 + w - 4]$ | $\phantom{-}15$ |
| 61 | $[61, 61, -2 w^2 + w + 8]$ | $\phantom{-}7$ |
| 73 | $[73, 73, -w^3 + 5 w - 1]$ | $\phantom{-}9$ |
| 79 | $[79, 79, 2 w^2 + w - 6]$ | $-5$ |
| 79 | $[79, 79, 2 w^3 - w^2 - 9 w + 3]$ | $\phantom{-}10$ |
Atkin-Lehner eigenvalues
| Norm | Prime | Eigenvalue |
|---|---|---|
| $25$ | $[25, 5, -w^3 + w^2 + 3 w - 1]$ | $-1$ |