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 | |||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| $a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | 5 | 7 | |||||||
| 245.4.a.m | $5$ | $14.455$ | \(\mathbb{Q}[x]/(x^{5} - \cdots)\) | None | \(1\) | \(-8\) | \(-25\) | \(0\) | $+$ | $+$ | \(q+\beta _{1}q^{2}+(-2+\beta _{2})q^{3}+(7+\beta _{3})q^{4}+\cdots\) | |
| 245.4.a.p | $6$ | $14.455$ | 6.6.1163891200.1 | None | \(-2\) | \(16\) | \(-30\) | \(0\) | $+$ | $+$ | \(q-\beta _{1}q^{2}+(3-\beta _{5})q^{3}+(2+3\beta _{1}+2\beta _{2}+\cdots)q^{4}+\cdots\) | |