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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.ba	$1232$	$4$	1232.a	1.a	$1$	$6$	$6$	$72.690$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓				616.4.a.h	$1$	$1$	\(0\)	\(0\)	\(-14\)	\(-42\)		$+$	$+$	$-$	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(-2-\beta _{3})q^{5}-7q^{7}+(4+\cdots)q^{9}+\cdots\)
1232.4.a.bb	$1232$	$4$	1232.a	1.a	$1$	$6$	$6$	$72.690$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓				616.4.a.i	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-42\)		$+$	$+$	$-$	$-$	$2^{6}\cdot 5$	$\mathrm{SU}(2)$	\(q-\beta _{4}q^{3}+(-\beta _{2}+\beta _{4})q^{5}-7q^{7}+(11+\cdots)q^{9}+\cdots\)

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