Base field \(\Q(\sqrt{93}) \)
Generator \(w\), with minimal polynomial \(x^{2} - x - 23\); narrow class number \(2\) and class number \(1\).
Form
Weight: | $[2, 2]$ |
Level: | $[81, 9, 9]$ |
Dimension: | $1$ |
CM: | yes |
Base change: | yes |
Newspace dimension: | $78$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
Norm | Prime | Eigenvalue |
---|---|---|
3 | $[3, 3, -w + 5]$ | $\phantom{-}0$ |
4 | $[4, 2, 2]$ | $-4$ |
7 | $[7, 7, w - 6]$ | $-1$ |
7 | $[7, 7, -w - 5]$ | $-1$ |
11 | $[11, 11, -w - 3]$ | $\phantom{-}0$ |
11 | $[11, 11, w - 4]$ | $\phantom{-}0$ |
17 | $[17, 17, w + 2]$ | $\phantom{-}0$ |
17 | $[17, 17, w - 3]$ | $\phantom{-}0$ |
19 | $[19, 19, w + 6]$ | $-7$ |
19 | $[19, 19, -w + 7]$ | $-7$ |
23 | $[23, 23, w]$ | $\phantom{-}0$ |
23 | $[23, 23, w - 1]$ | $\phantom{-}0$ |
25 | $[25, 5, -5]$ | $-10$ |
29 | $[29, 29, -2w + 9]$ | $\phantom{-}0$ |
29 | $[29, 29, 2w + 7]$ | $\phantom{-}0$ |
31 | $[31, 31, 3w - 17]$ | $-4$ |
53 | $[53, 53, 3w - 14]$ | $\phantom{-}0$ |
53 | $[53, 53, -3w - 11]$ | $\phantom{-}0$ |
67 | $[67, 67, -w - 9]$ | $\phantom{-}5$ |
67 | $[67, 67, w - 10]$ | $\phantom{-}5$ |
Atkin-Lehner eigenvalues
Norm | Prime | Eigenvalue |
---|---|---|
$3$ | $[3, 3, -w + 5]$ | $1$ |