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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6.16.a.a	$6$	$16$	6.a	1.a	$1$	$1$	$1$	$8.562$	\(\Q\)	None	✓	✓	✓	✓	6.16.a.a	$1$	$0$	\(-128\)	\(-2187\)	\(-314490\)	\(2025056\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{7}q^{2}-3^{7}q^{3}+2^{14}q^{4}-314490q^{5}+\cdots\)
6.16.a.c	$6$	$16$	6.a	1.a	$1$	$1$	$1$	$8.562$	\(\Q\)	None	✓	✓	✓	✓	6.16.a.c	$1$	$0$	\(128\)	\(2187\)	\(77646\)	\(762104\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2^{7}q^{2}+3^{7}q^{3}+2^{14}q^{4}+77646q^{5}+\cdots\)

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