Base field \(\Q(\sqrt{74}) \)
Generator \(w\), with minimal polynomial \(x^{2} - 74\); narrow class number \(2\) and class number \(2\).
Form
Weight: | $[2, 2]$ |
Level: | $[32, 8, 4w]$ |
Dimension: | $1$ |
CM: | yes |
Base change: | yes |
Newspace dimension: | $256$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
Norm | Prime | Eigenvalue |
---|---|---|
2 | $[2, 2, w]$ | $\phantom{-}0$ |
5 | $[5, 5, w + 2]$ | $-2$ |
5 | $[5, 5, w + 3]$ | $-2$ |
7 | $[7, 7, w + 9]$ | $\phantom{-}0$ |
7 | $[7, 7, -w + 9]$ | $\phantom{-}0$ |
9 | $[9, 3, 3]$ | $-6$ |
13 | $[13, 13, w + 3]$ | $\phantom{-}6$ |
13 | $[13, 13, w + 10]$ | $\phantom{-}6$ |
19 | $[19, 19, w + 6]$ | $\phantom{-}0$ |
19 | $[19, 19, w + 13]$ | $\phantom{-}0$ |
29 | $[29, 29, w + 4]$ | $-10$ |
29 | $[29, 29, w + 25]$ | $-10$ |
37 | $[37, 37, w]$ | $-2$ |
41 | $[41, 41, 3w - 25]$ | $\phantom{-}10$ |
41 | $[41, 41, 3w + 25]$ | $\phantom{-}10$ |
43 | $[43, 43, w + 17]$ | $\phantom{-}0$ |
43 | $[43, 43, w + 26]$ | $\phantom{-}0$ |
47 | $[47, 47, -w - 11]$ | $\phantom{-}0$ |
47 | $[47, 47, w - 11]$ | $\phantom{-}0$ |
59 | $[59, 59, w + 29]$ | $\phantom{-}0$ |
Atkin-Lehner eigenvalues
Norm | Prime | Eigenvalue |
---|---|---|
$2$ | $[2, 2, w]$ | $1$ |