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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	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
27.10.a.b	$27$	$10$	27.a	1.a	$1$	$3$	$3$	$13.906$	3.3.177113.1	None	✓	✓			27.10.a.b	$1$	$0$	\(-3\)	\(0\)	\(1983\)	\(-3693\)		$-$	$-$	$2\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{2}+(199-2\beta _{1}+\beta _{2})q^{4}+\cdots\)
27.10.a.d	$27$	$10$	27.a	1.a	$1$	$4$	$4$	$13.906$	\(\Q(\sqrt{166 +2 \sqrt{1129}})\)	None	✓	✓	✓		27.10.a.d	$2$	$0$	\(0\)	\(0\)	\(0\)	\(11852\)		$-$	$-$	$2^{3}\cdot 3^{8}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(559+\beta _{3})q^{4}+(-10\beta _{1}+\cdots)q^{5}+\cdots\)

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