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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.a	$2664$	$2$	2664.a	1.a	$1$	$1$	$1$	$21.272$	\(\Q\)	None	✓				888.2.a.d	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}+2q^{13}+6q^{23}+11q^{25}+\cdots\)
2664.2.a.c	$2664$	$2$	2664.a	1.a	$1$	$1$	$1$	$21.272$	\(\Q\)	None	✓				296.2.a.b	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{7}+3q^{11}-2q^{17}-2q^{19}+6q^{23}+\cdots\)
2664.2.a.d	$2664$	$2$	2664.a	1.a	$1$	$1$	$1$	$21.272$	\(\Q\)	None	✓				888.2.a.b	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-6q^{13}+4q^{17}+4q^{19}-6q^{23}+\cdots\)
2664.2.a.k	$2664$	$2$	2664.a	1.a	$1$	$2$	$2$	$21.272$	\(\Q(\sqrt{41}) \)	None	✓		✓		888.2.a.h	$1$	$1$	\(0\)	\(0\)	\(0\)	\(3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{7}+(-1-\beta )q^{11}+(1-\beta )q^{13}+\cdots\)

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