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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
27.8.a.a	$27$	$8$	27.a	1.a	$1$	$1$	$1$	$8.434$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	✓			27.8.a.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(1763\)		$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2^{7}q^{4}+1763q^{7}+12605q^{13}+\cdots\)
27.8.a.d	$27$	$8$	27.a	1.a	$1$	$2$	$2$	$8.434$	\(\Q(\sqrt{42}) \)	None	✓	✓			27.8.a.d	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-2522\)		$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+250q^{4}+20\beta q^{5}-1261q^{7}+\cdots\)
27.8.a.e	$27$	$8$	27.a	1.a	$1$	$2$	$2$	$8.434$	\(\Q(\sqrt{65}) \)	None	✓	✓			27.8.a.b	$1$	$0$	\(9\)	\(0\)	\(180\)	\(700\)		$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q+(5+\beta )q^{2}+(43+9\beta )q^{4}+(91+2\beta )q^{5}+\cdots\)

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