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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Results (4 matches)

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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
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
242.2.a.a	$242$	$2$	242.a	1.a	$1$	$1$	$1$	$1.932$	\(\Q\)	None	✓	✓			242.2.a.a	$1$	$0$	\(-1\)	\(-2\)	\(-3\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}-3q^{5}+2q^{6}+2q^{7}+\cdots\)
242.2.a.d	$242$	$2$	242.a	1.a	$1$	$2$	$2$	$1.932$	\(\Q(\sqrt{5}) \)	None	✓		✓		22.2.c.a	$1$	$0$	\(-2\)	\(3\)	\(2\)	\(4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1+\beta )q^{3}+q^{4}+(2-2\beta )q^{5}+\cdots\)
242.2.a.e	$242$	$2$	242.a	1.a	$1$	$2$	$2$	$1.932$	\(\Q(\sqrt{3}) \)	None	✓	✓			242.2.a.c	$1$	$0$	\(2\)	\(-2\)	\(0\)	\(6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta )q^{3}+q^{4}-\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
242.2.a.f	$242$	$2$	242.a	1.a	$1$	$2$	$2$	$1.932$	\(\Q(\sqrt{5}) \)	None	✓				22.2.c.a	$1$	$0$	\(2\)	\(3\)	\(2\)	\(-4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1+\beta )q^{3}+q^{4}+(2-2\beta )q^{5}+\cdots\)

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