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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)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 7
294.2.a.f 294.a 1.a $1$ $2.348$ \(\Q\) None 42.2.e.a \(1\) \(1\) \(-1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots\)
294.2.a.g 294.a 1.a $1$ $2.348$ \(\Q\) None 42.2.a.a \(1\) \(1\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{8}+\cdots\)
  displayed columns for results