Base field \(\Q(\sqrt{181}) \)
Generator \(w\), with minimal polynomial \(x^{2} - x - 45\); narrow class number \(1\) and class number \(1\).
Form
Weight: | $[2, 2]$ |
Level: | $[3,3,w - 7]$ |
Dimension: | $1$ |
CM: | no |
Base change: | no |
Newspace dimension: | $6$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
Norm | Prime | Eigenvalue |
---|---|---|
3 | $[3, 3, -w - 6]$ | $\phantom{-}1$ |
3 | $[3, 3, -w + 7]$ | $-1$ |
4 | $[4, 2, 2]$ | $-1$ |
5 | $[5, 5, 4w + 25]$ | $\phantom{-}4$ |
5 | $[5, 5, -4w + 29]$ | $-1$ |
11 | $[11, 11, w - 8]$ | $\phantom{-}0$ |
11 | $[11, 11, -w - 7]$ | $\phantom{-}0$ |
13 | $[13, 13, 3w + 19]$ | $\phantom{-}6$ |
13 | $[13, 13, 3w - 22]$ | $-4$ |
29 | $[29, 29, 6w + 37]$ | $\phantom{-}6$ |
29 | $[29, 29, 6w - 43]$ | $\phantom{-}6$ |
37 | $[37, 37, 2w - 13]$ | $-3$ |
37 | $[37, 37, 2w + 11]$ | $\phantom{-}2$ |
43 | $[43, 43, -w - 1]$ | $\phantom{-}11$ |
43 | $[43, 43, w - 2]$ | $\phantom{-}6$ |
49 | $[49, 7, -7]$ | $\phantom{-}4$ |
59 | $[59, 59, 5w - 37]$ | $-1$ |
59 | $[59, 59, 5w + 32]$ | $\phantom{-}9$ |
67 | $[67, 67, 21w + 131]$ | $-12$ |
67 | $[67, 67, 21w - 152]$ | $\phantom{-}13$ |
Atkin-Lehner eigenvalues
Norm | Prime | Eigenvalue |
---|---|---|
$3$ | $[3,3,w - 7]$ | $1$ |