Base field 4.4.9248.1
Generator \(w\), with minimal polynomial \(x^4 - 5 x^2 + 2\); narrow class number \(2\) and class number \(1\).
Form
| Weight: | $[2, 2, 2, 2]$ |
| Level: | $[26,26,w^3 - 4 w - 3]$ |
| Dimension: | $1$ |
| CM: | no |
| Base change: | no |
| Newspace dimension: | $18$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
| Norm | Prime | Eigenvalue |
|---|---|---|
| 2 | $[2, 2, w]$ | $\phantom{-}1$ |
| 2 | $[2, 2, w + 1]$ | $-1$ |
| 13 | $[13, 13, -w^2 + w + 3]$ | $\phantom{-}1$ |
| 13 | $[13, 13, w^2 + w - 3]$ | $\phantom{-}0$ |
| 19 | $[19, 19, -w^3 + 3 w + 1]$ | $-4$ |
| 19 | $[19, 19, -w^3 + 3 w - 1]$ | $\phantom{-}6$ |
| 43 | $[43, 43, -w^2 + w - 1]$ | $\phantom{-}10$ |
| 43 | $[43, 43, w^2 + w + 1]$ | $-10$ |
| 49 | $[49, 7, w^3 + w^2 - 6 w - 3]$ | $\phantom{-}12$ |
| 49 | $[49, 7, w^3 - w^2 - 6 w + 3]$ | $\phantom{-}4$ |
| 53 | $[53, 53, 2 w^3 - w^2 - 9 w + 3]$ | $-10$ |
| 53 | $[53, 53, 2 w^3 + w^2 - 9 w - 3]$ | $-14$ |
| 59 | $[59, 59, w^3 - w^2 - 4 w + 1]$ | $\phantom{-}0$ |
| 59 | $[59, 59, -w^3 - w^2 + 4 w + 1]$ | $-14$ |
| 67 | $[67, 67, 3 w^3 - 13 w + 1]$ | $-12$ |
| 67 | $[67, 67, -w^3 + w^2 + 6 w - 5]$ | $\phantom{-}4$ |
| 81 | $[81, 3, -3]$ | $-8$ |
| 83 | $[83, 83, -2 w^3 - w^2 + 9 w + 7]$ | $\phantom{-}0$ |
| 83 | $[83, 83, 4 w^3 - 18 w - 1]$ | $-16$ |
| 89 | $[89, 89, -2 w^3 + 10 w + 1]$ | $-6$ |
Atkin-Lehner eigenvalues
| Norm | Prime | Eigenvalue |
|---|---|---|
| $2$ | $[2,2,-w + 1]$ | $1$ |
| $13$ | $[13,13,w^2 - w - 3]$ | $-1$ |