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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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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
75.6.a.g	$75$	$6$	75.a	1.a	$1$	$2$	$2$	$12.029$	\(\Q(\sqrt{31}) \)	None	✓	✓			75.6.a.g	$1$	$0$	\(-6\)	\(-18\)	\(0\)	\(-102\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-3+\beta )q^{2}-9q^{3}+(8-6\beta )q^{4}+\cdots\)
75.6.a.j	$75$	$6$	75.a	1.a	$1$	$2$	$2$	$12.029$	\(\Q(\sqrt{89}) \)	None	✓				15.6.b.a	$1$	$0$	\(9\)	\(-18\)	\(0\)	\(108\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(5-\beta )q^{2}-9q^{3}+(15-9\beta )q^{4}+(-45+\cdots)q^{6}+\cdots\)

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