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Results (4 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7	41
6027.2.a.z	$6027$	$2$	6027.a	1.a	$1$	$8$	$8$	$48.126$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-2\)	\(-8\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{5}q^{5}+\cdots\)
6027.2.a.ba	$6027$	$2$	6027.a	1.a	$1$	$8$	$8$	$48.126$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-2\)	\(8\)	\(-2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{5}q^{5}+\cdots\)
6027.2.a.bb	$6027$	$2$	6027.a	1.a	$1$	$8$	$8$	$48.126$	8.8.7457527933.1	None	✓	$1$	$1$	\(1\)	\(-8\)	\(-7\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1}-\beta _{2})q^{2}-q^{3}+(2+\beta _{6})q^{4}+\cdots\)
6027.2.a.bc	$6027$	$2$	6027.a	1.a	$1$	$8$	$8$	$48.126$	8.8.7457527933.1	None	✓	$1$	$0$	\(1\)	\(8\)	\(7\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1}-\beta _{2})q^{2}+q^{3}+(2+\beta _{6})q^{4}+\cdots\)