Base field 4.4.16357.1
Generator \(w\), with minimal polynomial \(x^4 - 6 x^2 - x + 1\); narrow class number \(2\) and class number \(1\).
Form
| Weight: | $[2, 2, 2, 2]$ |
| Level: | $[25, 25, w^3 - 7 w + 1]$ |
| Dimension: | $1$ |
| CM: | no |
| Base change: | no |
| Newspace dimension: | $42$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
| Norm | Prime | Eigenvalue |
|---|---|---|
| 3 | $[3, 3, w + 1]$ | $-2$ |
| 5 | $[5, 5, -w^3 + 5 w + 2]$ | $\phantom{-}2$ |
| 5 | $[5, 5, w - 1]$ | $\phantom{-}0$ |
| 11 | $[11, 11, -w^3 + 5 w]$ | $-4$ |
| 13 | $[13, 13, -w^3 + w^2 + 6 w - 3]$ | $\phantom{-}6$ |
| 16 | $[16, 2, 2]$ | $-1$ |
| 19 | $[19, 19, 2 w^3 - w^2 - 11 w + 2]$ | $\phantom{-}4$ |
| 25 | $[25, 5, -w^2 + w + 3]$ | $\phantom{-}4$ |
| 27 | $[27, 3, w^3 - w^2 - 5 w + 4]$ | $-4$ |
| 31 | $[31, 31, -w - 3]$ | $-4$ |
| 37 | $[37, 37, -w^3 - w^2 + 6 w + 4]$ | $-8$ |
| 41 | $[41, 41, w^3 + w^2 - 6 w - 5]$ | $-2$ |
| 43 | $[43, 43, w^3 - 7 w - 2]$ | $\phantom{-}0$ |
| 47 | $[47, 47, -2 w^3 + 11 w + 2]$ | $-2$ |
| 61 | $[61, 61, w^2 - 3]$ | $-2$ |
| 67 | $[67, 67, w^2 + w - 4]$ | $\phantom{-}8$ |
| 79 | $[79, 79, -4 w^3 + 2 w^2 + 22 w - 9]$ | $-2$ |
| 97 | $[97, 97, -3 w^3 + 2 w^2 + 19 w - 6]$ | $\phantom{-}2$ |
| 97 | $[97, 97, -w^3 + 6 w - 3]$ | $-18$ |
| 97 | $[97, 97, -3 w^3 + 16 w]$ | $-4$ |
Atkin-Lehner eigenvalues
| Norm | Prime | Eigenvalue |
|---|---|---|
| $5$ | $[5, 5, w - 1]$ | $1$ |