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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 (7 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	5	29	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
9280.2.a.i	$9280$	$2$	9280.a	1.a	$1$	$1$	$1$	$74.101$	\(\Q\)	None	✓				580.2.a.b	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+2q^{7}-3q^{9}-4q^{11}+6q^{13}+\cdots\)
9280.2.a.bb	$9280$	$2$	9280.a	1.a	$1$	$2$	$2$	$74.101$	\(\Q(\sqrt{13}) \)	None	✓				290.2.a.c	$1$	$1$	\(0\)	\(1\)	\(-2\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-q^{5}+(-1-\beta )q^{7}+\beta q^{9}+\cdots\)
9280.2.a.bi	$9280$	$2$	9280.a	1.a	$1$	$3$	$3$	$74.101$	3.3.148.1	None	✓				1160.2.a.f	$1$	$1$	\(0\)	\(-2\)	\(-3\)	\(4\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}-q^{5}+(1+\beta _{1})q^{7}+\cdots\)
9280.2.a.br	$9280$	$2$	9280.a	1.a	$1$	$3$	$3$	$74.101$	3.3.148.1	None	✓				145.2.a.c	$1$	$1$	\(0\)	\(2\)	\(-3\)	\(-4\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}-q^{5}+(-1-\beta _{1})q^{7}+\cdots\)
9280.2.a.ca	$9280$	$2$	9280.a	1.a	$1$	$4$	$4$	$74.101$	\(\Q(\zeta_{24})^+\)	None	✓				4640.2.a.q	$2$	$1$	\(0\)	\(0\)	\(-4\)	\(0\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}-q^{5}-\beta _{3}q^{7}-q^{9}-\beta _{2}q^{11}+\cdots\)
9280.2.a.ch	$9280$	$2$	9280.a	1.a	$1$	$5$	$5$	$74.101$	5.5.6083172.1	None	✓				1160.2.a.i	$1$	$1$	\(0\)	\(-1\)	\(-5\)	\(1\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}+(\beta _{2}-\beta _{3})q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
9280.2.a.cs	$9280$	$2$	9280.a	1.a	$1$	$8$	$8$	$74.101$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓		✓		4640.2.a.y	$2$	$1$	\(0\)	\(0\)	\(-8\)	\(0\)		$-$	$+$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-q^{5}+(-\beta _{1}-\beta _{5})q^{7}+(1+\cdots)q^{9}+\cdots\)

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