Base field \(\Q(\sqrt{301}) \)
Generator \(w\), with minimal polynomial \(x^{2} - x - 75\); narrow class number \(2\) and class number \(1\).
Form
Weight: | $[2, 2]$ |
Level: | $[28, 14, -46w - 376]$ |
Dimension: | $1$ |
CM: | no |
Base change: | yes |
Newspace dimension: | $186$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
Norm | Prime | Eigenvalue |
---|---|---|
3 | $[3, 3, w - 9]$ | $-2$ |
3 | $[3, 3, w + 8]$ | $-2$ |
4 | $[4, 2, 2]$ | $\phantom{-}1$ |
5 | $[5, 5, -6w + 55]$ | $\phantom{-}0$ |
5 | $[5, 5, -6w - 49]$ | $\phantom{-}0$ |
7 | $[7, 7, -23w - 188]$ | $\phantom{-}1$ |
11 | $[11, 11, 5w - 46]$ | $\phantom{-}0$ |
11 | $[11, 11, -5w - 41]$ | $\phantom{-}0$ |
19 | $[19, 19, w + 7]$ | $\phantom{-}2$ |
19 | $[19, 19, -w + 8]$ | $\phantom{-}2$ |
23 | $[23, 23, 2w - 19]$ | $\phantom{-}0$ |
23 | $[23, 23, 2w + 17]$ | $\phantom{-}0$ |
43 | $[43, 43, 57w - 523]$ | $\phantom{-}8$ |
53 | $[53, 53, 28w - 257]$ | $\phantom{-}6$ |
53 | $[53, 53, 28w + 229]$ | $\phantom{-}6$ |
61 | $[61, 61, -13w + 119]$ | $\phantom{-}8$ |
61 | $[61, 61, 13w + 106]$ | $\phantom{-}8$ |
67 | $[67, 67, -9w + 83]$ | $-4$ |
67 | $[67, 67, -9w - 74]$ | $-4$ |
73 | $[73, 73, -w - 1]$ | $\phantom{-}2$ |
Atkin-Lehner eigenvalues
Norm | Prime | Eigenvalue |
---|---|---|
$4$ | $[4, 2, 2]$ | $-1$ |
$7$ | $[7, 7, -23w - 188]$ | $-1$ |