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Results (7 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 7 11
847.6.a.a 847.a 1.a $1$ $135.845$ \(\Q\) None \(2\) \(-6\) \(-74\) \(49\) $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}-6q^{3}-28q^{4}-74q^{5}-12q^{6}+\cdots\)
847.6.a.b 847.a 1.a $1$ $135.845$ \(\Q\) None \(10\) \(-14\) \(-56\) \(49\) $-$ $-$ $\mathrm{SU}(2)$ \(q+10q^{2}-14q^{3}+68q^{4}-56q^{5}+\cdots\)
847.6.a.e 847.a 1.a $5$ $135.845$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(-10\) \(17\) \(119\) \(245\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-2+\beta _{1})q^{2}+(3+\beta _{1}-\beta _{4})q^{3}+\cdots\)
847.6.a.f 847.a 1.a $6$ $135.845$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(-4\) \(-12\) \(-62\) \(294\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(-2+\beta _{1}+\beta _{3})q^{3}+\cdots\)
847.6.a.h 847.a 1.a $12$ $135.845$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-12\) \(-1\) \(52\) \(588\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+\beta _{3}q^{3}+(2^{4}-\beta _{1}+\cdots)q^{4}+\cdots\)
847.6.a.i 847.a 1.a $12$ $135.845$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-4\) \(-1\) \(-10\) \(588\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(\beta _{1}+\beta _{3})q^{3}+(15+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
847.6.a.p 847.a 1.a $28$ $135.845$ None \(-14\) \(-28\) \(-258\) \(1372\) $-$ $-$ $\mathrm{SU}(2)$
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