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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.e	$368$	$4$	368.a	1.a	$1$	$1$	$1$	$21.713$	\(\Q\)	None	✓				46.4.a.b	$1$	$0$	\(0\)	\(9\)	\(-20\)	\(-2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+9q^{3}-20q^{5}-2q^{7}+54q^{9}+52q^{11}+\cdots\)
368.4.a.g	$368$	$4$	368.a	1.a	$1$	$2$	$2$	$21.713$	\(\Q(\sqrt{41}) \)	None	✓				46.4.a.c	$1$	$0$	\(0\)	\(1\)	\(10\)	\(-6\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+3\beta )q^{3}+(4+2\beta )q^{5}+(-2+\cdots)q^{7}+\cdots\)
368.4.a.k	$368$	$4$	368.a	1.a	$1$	$3$	$3$	$21.713$	3.3.1229.1	None	✓				92.4.a.a	$1$	$0$	\(0\)	\(4\)	\(-10\)	\(46\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{3}+(-4-\beta _{1}+3\beta _{2})q^{5}+\cdots\)
368.4.a.l	$368$	$4$	368.a	1.a	$1$	$4$	$4$	$21.713$	4.4.334189.1	None	✓		✓		23.4.a.b	$1$	$0$	\(0\)	\(-7\)	\(14\)	\(-16\)		$-$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-2-\beta _{2})q^{3}+(3+\beta _{1}-\beta _{3})q^{5}+\cdots\)

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