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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5 13 31
6045.2.a.o 6045.a 1.a $2$ $48.270$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-2\) \(4\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-q^{3}+q^{4}-q^{5}-\beta q^{6}+2q^{7}+\cdots\)
6045.2.a.bc 6045.a 1.a $14$ $48.270$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-3\) \(-14\) \(-14\) \(-1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
  displayed columns for results