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Results (6 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	13
4563.2.a.bn	$4563$	$2$	4563.a	1.a	$1$	$12$	$12$	$36.436$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	✓	✓		4563.2.a.bn	$1$	$1$	\(-7\)	\(0\)	\(-13\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(1-\beta _{1}+\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
4563.2.a.bo	$4563$	$2$	4563.a	1.a	$1$	$12$	$12$	$36.436$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	✓			4563.2.a.bn	$1$	$1$	\(-7\)	\(0\)	\(-13\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(1-\beta _{1}+\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
4563.2.a.bp	$4563$	$2$	4563.a	1.a	$1$	$12$	$12$	$36.436$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	✓			4563.2.a.bp	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-14\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-\beta _{1}+\beta _{11})q^{5}+\cdots\)
4563.2.a.bq	$4563$	$2$	4563.a	1.a	$1$	$12$	$12$	$36.436$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	✓			4563.2.a.bp	$2$	$0$	\(0\)	\(0\)	\(0\)	\(14\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-\beta _{1}+\beta _{11})q^{5}+\cdots\)
4563.2.a.br	$4563$	$2$	4563.a	1.a	$1$	$12$	$12$	$36.436$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	✓			4563.2.a.bn	$1$	$0$	\(7\)	\(0\)	\(13\)	\(-1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-\beta _{1}+\beta _{3}+\beta _{4})q^{4}+\cdots\)
4563.2.a.bs	$4563$	$2$	4563.a	1.a	$1$	$12$	$12$	$36.436$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	✓	✓		4563.2.a.bn	$1$	$0$	\(7\)	\(0\)	\(13\)	\(1\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-\beta _{1}+\beta _{3}+\beta _{4})q^{4}+\cdots\)