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The results below are complete, since the LMFDB contains all newforms with trivial character and $Nk^2$ at most 40000

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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	37	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2664.2.a.l	$2664$	$2$	2664.a	1.a	$1$	$2$	$2$	$21.272$	\(\Q(\sqrt{2}) \)	None	✓				888.2.a.g	$1$	$0$	\(0\)	\(0\)	\(4\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{5}+(-2+2\beta )q^{7}+2\beta q^{11}+\cdots\)
2664.2.a.m	$2664$	$2$	2664.a	1.a	$1$	$3$	$3$	$21.272$	3.3.316.1	None	✓				888.2.a.i	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(-5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1}+\beta _{2})q^{5}+(-1-2\beta _{1}+\cdots)q^{7}+\cdots\)
2664.2.a.p	$2664$	$2$	2664.a	1.a	$1$	$3$	$3$	$21.272$	3.3.229.1	None	✓				296.2.a.c	$1$	$0$	\(0\)	\(0\)	\(1\)	\(7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{5}+(2+\beta _{1}-\beta _{2})q^{7}+3\beta _{1}q^{11}+\cdots\)

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