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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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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	7	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1232.4.a.u	$1232$	$4$	1232.a	1.a	$1$	$4$	$4$	$72.690$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓				616.4.a.f	$1$	$0$	\(0\)	\(3\)	\(-13\)	\(-28\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(-4+\beta _{1}-\beta _{2})q^{5}+\cdots\)
1232.4.a.bc	$1232$	$4$	1232.a	1.a	$1$	$7$	$7$	$72.690$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓		✓		616.4.a.k	$1$	$0$	\(0\)	\(-3\)	\(11\)	\(-49\)		$+$	$+$	$+$	$+$	$2^{6}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(2-\beta _{2})q^{5}-7q^{7}+(15+\beta _{3}+\cdots)q^{9}+\cdots\)

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