Base field \(\Q(\sqrt{51}) \)
Generator \(w\), with minimal polynomial \(x^{2} - 51\); narrow class number \(4\) and class number \(2\).
Form
Weight: | $[2, 2]$ |
Level: | $[36, 6, 6]$ |
Dimension: | $1$ |
CM: | yes |
Base change: | yes |
Newspace dimension: | $68$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
Norm | Prime | Eigenvalue |
---|---|---|
2 | $[2, 2, -w + 7]$ | $\phantom{-}0$ |
3 | $[3, 3, w]$ | $\phantom{-}0$ |
5 | $[5, 5, w + 1]$ | $\phantom{-}0$ |
5 | $[5, 5, w + 4]$ | $\phantom{-}0$ |
7 | $[7, 7, w + 3]$ | $\phantom{-}4$ |
7 | $[7, 7, w + 4]$ | $\phantom{-}4$ |
13 | $[13, 13, w - 8]$ | $\phantom{-}2$ |
13 | $[13, 13, w + 8]$ | $\phantom{-}2$ |
17 | $[17, 17, w]$ | $\phantom{-}0$ |
29 | $[29, 29, w + 14]$ | $\phantom{-}0$ |
29 | $[29, 29, w + 15]$ | $\phantom{-}0$ |
31 | $[31, 31, w + 12]$ | $\phantom{-}4$ |
31 | $[31, 31, w + 19]$ | $\phantom{-}4$ |
41 | $[41, 41, w + 16]$ | $\phantom{-}0$ |
41 | $[41, 41, w + 25]$ | $\phantom{-}0$ |
47 | $[47, 47, -w - 2]$ | $\phantom{-}0$ |
47 | $[47, 47, w - 2]$ | $\phantom{-}0$ |
59 | $[59, 59, 3w - 20]$ | $\phantom{-}0$ |
59 | $[59, 59, 10w - 71]$ | $\phantom{-}0$ |
79 | $[79, 79, w + 29]$ | $\phantom{-}4$ |
Atkin-Lehner eigenvalues
Norm | Prime | Eigenvalue |
---|---|---|
$2$ | $[2, 2, -w + 7]$ | $-1$ |
$3$ | $[3, 3, w]$ | $-1$ |