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Level	Weight	Analytic conductor	\(Nk^2\)	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (16 matches)

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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
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
9408.2.a.bq	$9408$	$2$	9408.a	1.a	$1$	$1$	$1$	$75.123$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-4\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-4q^{5}+q^{9}+2q^{11}-2q^{13}+\cdots\)
9408.2.a.br	$9408$	$2$	9408.a	1.a	$1$	$1$	$1$	$75.123$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-4\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-4q^{5}+q^{9}+4q^{11}-4q^{13}+\cdots\)
9408.2.a.bv	$9408$	$2$	9408.a	1.a	$1$	$1$	$1$	$75.123$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
9408.2.a.by	$9408$	$2$	9408.a	1.a	$1$	$1$	$1$	$75.123$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+q^{9}+2q^{11}-2q^{15}+\cdots\)
9408.2.a.bz	$9408$	$2$	9408.a	1.a	$1$	$1$	$1$	$75.123$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+q^{9}+2q^{11}+q^{13}+\cdots\)
9408.2.a.cf	$9408$	$2$	9408.a	1.a	$1$	$1$	$1$	$75.123$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+q^{9}-3q^{11}+4q^{13}+\cdots\)
9408.2.a.ch	$9408$	$2$	9408.a	1.a	$1$	$1$	$1$	$75.123$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{9}-2q^{11}-2q^{13}-4q^{17}+\cdots\)
9408.2.a.ci	$9408$	$2$	9408.a	1.a	$1$	$1$	$1$	$75.123$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{9}-2q^{11}+q^{13}+2q^{17}+\cdots\)
9408.2.a.cl	$9408$	$2$	9408.a	1.a	$1$	$1$	$1$	$75.123$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{9}+4q^{13}-4q^{17}-4q^{19}+\cdots\)
9408.2.a.co	$9408$	$2$	9408.a	1.a	$1$	$1$	$1$	$75.123$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{9}+6q^{11}+2q^{13}-4q^{19}+\cdots\)
9408.2.a.ct	$9408$	$2$	9408.a	1.a	$1$	$1$	$1$	$75.123$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
9408.2.a.cu	$9408$	$2$	9408.a	1.a	$1$	$1$	$1$	$75.123$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}+q^{9}-2q^{11}-4q^{13}+\cdots\)
9408.2.a.cw	$9408$	$2$	9408.a	1.a	$1$	$1$	$1$	$75.123$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}+q^{9}-2q^{11}+2q^{15}+\cdots\)
9408.2.a.cy	$9408$	$2$	9408.a	1.a	$1$	$1$	$1$	$75.123$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}+q^{9}-2q^{13}+2q^{15}+\cdots\)
9408.2.a.db	$9408$	$2$	9408.a	1.a	$1$	$1$	$1$	$75.123$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(3\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{5}+q^{9}-3q^{11}-4q^{13}+\cdots\)
9408.2.a.ei	$9408$	$2$	9408.a	1.a	$1$	$3$	$3$	$75.123$	3.3.621.1	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}+\beta _{2}q^{5}+q^{9}+(\beta _{1}+\beta _{2})q^{11}+\cdots\)

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