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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 (4 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	3	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
42.6.a.a	$42$	$6$	42.a	1.a	$1$	$1$	$1$	$6.736$	\(\Q\)	None	✓	✓	✓	✓	42.6.a.a	$1$	$0$	\(-4\)	\(-9\)	\(-54\)	\(49\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}-54q^{5}+6^{2}q^{6}+\cdots\)
42.6.a.d	$42$	$6$	42.a	1.a	$1$	$1$	$1$	$6.736$	\(\Q\)	None	✓	✓	✓	✓	42.6.a.d	$1$	$0$	\(-4\)	\(9\)	\(26\)	\(-49\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+9q^{3}+2^{4}q^{4}+26q^{5}-6^{2}q^{6}+\cdots\)
42.6.a.e	$42$	$6$	42.a	1.a	$1$	$1$	$1$	$6.736$	\(\Q\)	None	✓	✓	✓	✓	42.6.a.e	$1$	$0$	\(4\)	\(-9\)	\(76\)	\(-49\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-9q^{3}+2^{4}q^{4}+76q^{5}-6^{2}q^{6}+\cdots\)
42.6.a.f	$42$	$6$	42.a	1.a	$1$	$1$	$1$	$6.736$	\(\Q\)	None	✓	✓	✓	✓	42.6.a.f	$1$	$0$	\(4\)	\(9\)	\(24\)	\(49\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+9q^{3}+2^{4}q^{4}+24q^{5}+6^{2}q^{6}+\cdots\)

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