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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 (3 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.a	$368$	$4$	368.a	1.a	$1$	$1$	$1$	$21.713$	\(\Q\)	None	✓				184.4.a.b	$1$	$1$	\(0\)	\(-8\)	\(-4\)	\(4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-8q^{3}-4q^{5}+4q^{7}+37q^{9}-26q^{11}+\cdots\)
368.4.a.i	$368$	$4$	368.a	1.a	$1$	$3$	$3$	$21.713$	3.3.761.1	None	✓				184.4.a.d	$1$	$1$	\(0\)	\(-1\)	\(16\)	\(-18\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(5+2\beta _{1}+\beta _{2})q^{5}+(-5+\cdots)q^{7}+\cdots\)
368.4.a.n	$368$	$4$	368.a	1.a	$1$	$4$	$4$	$21.713$	4.4.167313.1	None	✓		✓		184.4.a.e	$1$	$1$	\(0\)	\(-1\)	\(-20\)	\(10\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(-5+\beta _{2}+\beta _{3})q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)

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