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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	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
14.14.a.a	$14$	$14$	14.a	1.a	$1$	$1$	$1$	$15.012$	\(\Q\)	None	✓	✓	✓	✓	14.14.a.a	$1$	$1$	\(-64\)	\(1626\)	\(-36400\)	\(-117649\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{6}q^{2}+1626q^{3}+2^{12}q^{4}-36400q^{5}+\cdots\)
14.14.a.b	$14$	$14$	14.a	1.a	$1$	$1$	$1$	$15.012$	\(\Q\)	None	✓	✓	✓	✓	14.14.a.b	$1$	$1$	\(64\)	\(-1026\)	\(4320\)	\(117649\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2^{6}q^{2}-1026q^{3}+2^{12}q^{4}+4320q^{5}+\cdots\)

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