Base field \(\Q(\sqrt{249}) \)
Generator \(w\), with minimal polynomial \(x^{2} - x - 62\); narrow class number \(2\) and class number \(1\).
Form
| Weight: | $[2, 2]$ |
| Level: | $[15,15,-8w - 59]$ |
| Dimension: | $1$ |
| CM: | no |
| Base change: | no |
| Newspace dimension: | $90$ |
Hecke eigenvalues ($q$-expansion)
The Hecke eigenvalue field is $\Q$.
| Norm | Prime | Eigenvalue |
|---|---|---|
| 2 | $[2, 2, -59w - 436]$ | $\phantom{-}1$ |
| 2 | $[2, 2, -59w + 495]$ | $\phantom{-}2$ |
| 3 | $[3, 3, 454w + 3355]$ | $\phantom{-}1$ |
| 5 | $[5, 5, 18w + 133]$ | $-3$ |
| 5 | $[5, 5, -18w + 151]$ | $\phantom{-}1$ |
| 7 | $[7, 7, -2w + 17]$ | $-2$ |
| 7 | $[7, 7, 2w + 15]$ | $\phantom{-}1$ |
| 31 | $[31, 31, -218w + 1829]$ | $\phantom{-}8$ |
| 31 | $[31, 31, 218w + 1611]$ | $\phantom{-}2$ |
| 37 | $[37, 37, 28w + 207]$ | $\phantom{-}7$ |
| 37 | $[37, 37, 28w - 235]$ | $-8$ |
| 47 | $[47, 47, 136w - 1141]$ | $\phantom{-}3$ |
| 47 | $[47, 47, 136w + 1005]$ | $-9$ |
| 53 | $[53, 53, -2w + 15]$ | $\phantom{-}5$ |
| 53 | $[53, 53, -2w - 13]$ | $\phantom{-}1$ |
| 61 | $[61, 61, -12w + 101]$ | $\phantom{-}9$ |
| 61 | $[61, 61, -12w - 89]$ | $-9$ |
| 71 | $[71, 71, 1480w + 10937]$ | $\phantom{-}2$ |
| 71 | $[71, 71, -3296w - 24357]$ | $\phantom{-}7$ |
| 83 | $[83, 83, 2388w + 17647]$ | $\phantom{-}6$ |
Atkin-Lehner eigenvalues
| Norm | Prime | Eigenvalue |
|---|---|---|
| $3$ | $[3,3,-454w + 3809]$ | $-1$ |
| $5$ | $[5,5,-18w + 151]$ | $-1$ |