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The results below are complete, since the LMFDB contains all newforms with $Nk^2$ at most 4000

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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	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
176.4.a.b	$176$	$4$	176.a	1.a	$1$	$1$	$1$	$10.384$	\(\Q\)	None	✓				22.4.a.b	$1$	$0$	\(0\)	\(-4\)	\(14\)	\(8\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{3}+14q^{5}+8q^{7}-11q^{9}+11q^{11}+\cdots\)
176.4.a.e	$176$	$4$	176.a	1.a	$1$	$1$	$1$	$10.384$	\(\Q\)	None	✓				44.4.a.a	$1$	$0$	\(0\)	\(5\)	\(-7\)	\(26\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5q^{3}-7q^{5}+26q^{7}-2q^{9}+11q^{11}+\cdots\)
176.4.a.i	$176$	$4$	176.a	1.a	$1$	$2$	$2$	$10.384$	\(\Q(\sqrt{3}) \)	None	✓		✓		11.4.a.a	$1$	$0$	\(0\)	\(2\)	\(2\)	\(-20\)		$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(1+2\beta )q^{5}+(-10+\beta )q^{7}+\cdots\)

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