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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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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	37	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2664.2.a.e	$2664$	$2$	2664.a	1.a	$1$	$1$	$1$	$21.272$	\(\Q\)	None	✓				888.2.a.c	$1$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+4q^{11}-2q^{13}+6q^{17}+4q^{23}+\cdots\)
2664.2.a.h	$2664$	$2$	2664.a	1.a	$1$	$1$	$1$	$21.272$	\(\Q\)	None	✓				888.2.a.a	$1$	$0$	\(0\)	\(0\)	\(4\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{5}-q^{7}+3q^{11}-5q^{13}-7q^{17}+\cdots\)
2664.2.a.j	$2664$	$2$	2664.a	1.a	$1$	$2$	$2$	$21.272$	\(\Q(\sqrt{5}) \)	None	✓				888.2.a.f	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(8\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{5}+4q^{7}+(-2-2\beta )q^{11}+\cdots\)
2664.2.a.r	$2664$	$2$	2664.a	1.a	$1$	$4$	$4$	$21.272$	4.4.48389.1	None	✓		✓		296.2.a.d	$1$	$0$	\(0\)	\(0\)	\(-5\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{3})q^{5}+(-\beta _{2}+\beta _{3})q^{7}+(-1+\cdots)q^{11}+\cdots\)

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