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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	7	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1232.4.a.g	$1232$	$4$	1232.a	1.a	$1$	$1$	$1$	$72.690$	\(\Q\)	None	✓				154.4.a.a	$1$	$1$	\(0\)	\(5\)	\(-1\)	\(7\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{3}-q^{5}+7q^{7}-2q^{9}+11q^{11}+\cdots\)
1232.4.a.o	$1232$	$4$	1232.a	1.a	$1$	$2$	$2$	$72.690$	\(\Q(\sqrt{57}) \)	None	✓				154.4.a.h	$1$	$1$	\(0\)	\(5\)	\(-17\)	\(14\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(3-\beta )q^{3}+(-7-3\beta )q^{5}+7q^{7}+\cdots\)
1232.4.a.r	$1232$	$4$	1232.a	1.a	$1$	$3$	$3$	$72.690$	3.3.5925.1	None	✓				308.4.a.c	$1$	$1$	\(0\)	\(-5\)	\(9\)	\(21\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1})q^{3}+(2+3\beta _{1})q^{5}+7q^{7}+\cdots\)
1232.4.a.s	$1232$	$4$	1232.a	1.a	$1$	$4$	$4$	$72.690$	4.4.522072.1	None	✓		✓		77.4.a.d	$1$	$1$	\(0\)	\(-14\)	\(10\)	\(28\)		$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-4-\beta _{2})q^{3}+(4-\beta _{1}+2\beta _{2})q^{5}+\cdots\)

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