The results below are complete, since the LMFDB contains all newforms with $Nk^2$ at most 4000
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Results (displaying both matches)
Download displayed columns for results| Label | Dim | $A$ | Field | CM | Traces | A-L signs | $q$-expansion | |||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| $a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | 2 | 5 | |||||||
| 10.18.a.a | $1$ | $18.322$ | \(\Q\) | None | \(256\) | \(-14976\) | \(390625\) | \(14808668\) | $-$ | $-$ | \(q+2^{8}q^{2}-14976q^{3}+2^{16}q^{4}+5^{8}q^{5}+\cdots\) | |
| 10.18.a.b | $2$ | $18.322$ | \(\Q(\sqrt{36061}) \) | None | \(-512\) | \(-6308\) | \(-781250\) | \(6543844\) | $+$ | $+$ | \(q-2^{8}q^{2}+(-3154-\beta )q^{3}+2^{16}q^{4}+\cdots\) | |