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Results (4 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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	5	241
7230.2.a.w	$7230$	$2$	7230.a	1.a	$1$	$2$	$2$	$57.732$	\(\Q(\sqrt{17}) \)	None	✓	✓			7230.2.a.w	$1$	$0$	\(-2\)	\(2\)	\(2\)	\(-3\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
7230.2.a.x	$7230$	$2$	7230.a	1.a	$1$	$2$	$2$	$57.732$	\(\Q(\sqrt{3}) \)	None	✓	✓			7230.2.a.x	$1$	$0$	\(-2\)	\(2\)	\(2\)	\(8\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+4q^{7}+\cdots\)
7230.2.a.y	$7230$	$2$	7230.a	1.a	$1$	$2$	$2$	$57.732$	\(\Q(\sqrt{2}) \)	None	✓	✓			7230.2.a.y	$1$	$1$	\(2\)	\(-2\)	\(-2\)	\(0\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+2\beta q^{7}+\cdots\)
7230.2.a.z	$7230$	$2$	7230.a	1.a	$1$	$2$	$2$	$57.732$	\(\Q(\sqrt{5}) \)	None	✓	✓			7230.2.a.z	$1$	$1$	\(2\)	\(2\)	\(-2\)	\(0\)		$-$	$-$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots\)