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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	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
368.4.a.b	$368$	$4$	368.a	1.a	$1$	$1$	$1$	$21.713$	\(\Q\)	None	✓				46.4.a.a	$1$	$1$	\(0\)	\(1\)	\(-10\)	\(12\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-10q^{5}+12q^{7}-26q^{9}+42q^{11}+\cdots\)
368.4.a.d	$368$	$4$	368.a	1.a	$1$	$1$	$1$	$21.713$	\(\Q\)	None	✓				23.4.a.a	$1$	$1$	\(0\)	\(5\)	\(-6\)	\(8\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{3}-6q^{5}+8q^{7}-2q^{9}-34q^{11}+\cdots\)
368.4.a.f	$368$	$4$	368.a	1.a	$1$	$2$	$2$	$21.713$	\(\Q(\sqrt{73}) \)	None	✓				46.4.a.d	$1$	$1$	\(0\)	\(-3\)	\(10\)	\(-12\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{3}+(6-2\beta )q^{5}+(-8+4\beta )q^{7}+\cdots\)
368.4.a.h	$368$	$4$	368.a	1.a	$1$	$3$	$3$	$21.713$	3.3.28669.1	None	✓		✓		92.4.a.b	$1$	$1$	\(0\)	\(-8\)	\(0\)	\(-42\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-3-\beta _{2})q^{3}+\beta _{1}q^{5}+(-14+\beta _{1}+\cdots)q^{7}+\cdots\)

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