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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 (10 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.g	$2664$	$2$	2664.a	1.a	$1$	$1$	$1$	$21.272$	\(\Q\)	None	✓	✓			2664.2.a.b	$1$	$0$	\(0\)	\(0\)	\(2\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+q^{7}+5q^{11}+3q^{13}+q^{17}+\cdots\)
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.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	$1$	$0$	\(0\)	\(0\)	\(1\)	\(7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{5}+(2+\beta _{1}-\beta _{2})q^{7}+3\beta _{1}q^{11}+\cdots\)
2664.2.a.q	$2664$	$2$	2664.a	1.a	$1$	$3$	$3$	$21.272$	3.3.148.1	None	✓	✓	✓		2664.2.a.n	$1$	$0$	\(0\)	\(0\)	\(2\)	\(4\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{2})q^{5}+(2-\beta _{1}-\beta _{2})q^{7}-2q^{13}+\cdots\)
2664.2.a.r	$2664$	$2$	2664.a	1.a	$1$	$4$	$4$	$21.272$	4.4.48389.1	None	✓		✓		296.2.a.d	$1$	$0$	\(0\)	\(0\)	\(-5\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{3})q^{5}+(-\beta _{2}+\beta _{3})q^{7}+(-1+\cdots)q^{11}+\cdots\)
2664.2.a.t	$2664$	$2$	2664.a	1.a	$1$	$5$	$5$	$21.272$	5.5.935504.1	None	✓	✓	✓	✓	2664.2.a.s	$1$	$0$	\(0\)	\(0\)	\(2\)	\(-7\)		$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{5}+(-1+\beta _{4})q^{7}+(1+\beta _{2}-\beta _{3}+\cdots)q^{11}+\cdots\)

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