Base field \(\Q(\sqrt{19}) \)
Generator \(w\), with minimal polynomial \(x^{2} - 19\); narrow class number \(2\) and class number \(1\).
Form
Weight: | $[2, 2]$ |
Level: | $[100, 10, 10]$ |
Dimension: | $1$ |
CM: | no |
Base change: | yes |
Newspace dimension: | $22$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
Norm | Prime | Eigenvalue |
---|---|---|
2 | $[2, 2, -3w - 13]$ | $\phantom{-}0$ |
3 | $[3, 3, w + 4]$ | $\phantom{-}2$ |
3 | $[3, 3, w - 4]$ | $\phantom{-}2$ |
5 | $[5, 5, 2w + 9]$ | $-1$ |
5 | $[5, 5, -2w + 9]$ | $-1$ |
17 | $[17, 17, w + 6]$ | $-6$ |
17 | $[17, 17, -w + 6]$ | $-6$ |
19 | $[19, 19, w]$ | $\phantom{-}4$ |
31 | $[31, 31, 20w + 87]$ | $\phantom{-}4$ |
31 | $[31, 31, 7w + 30]$ | $\phantom{-}4$ |
49 | $[49, 7, -7]$ | $-10$ |
59 | $[59, 59, 6w + 25]$ | $-12$ |
59 | $[59, 59, -6w + 25]$ | $-12$ |
61 | $[61, 61, -9w - 40]$ | $\phantom{-}2$ |
61 | $[61, 61, 9w - 40]$ | $\phantom{-}2$ |
67 | $[67, 67, 2w - 3]$ | $-2$ |
67 | $[67, 67, -2w - 3]$ | $-2$ |
71 | $[71, 71, 3w + 10]$ | $\phantom{-}12$ |
71 | $[71, 71, 3w - 10]$ | $\phantom{-}12$ |
73 | $[73, 73, 27w + 118]$ | $\phantom{-}2$ |
Atkin-Lehner eigenvalues
Norm | Prime | Eigenvalue |
---|---|---|
$2$ | $[2, 2, -3w - 13]$ | $-1$ |
$5$ | $[5, 5, 2w + 9]$ | $1$ |
$5$ | $[5, 5, -2w + 9]$ | $1$ |