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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 (9 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.a	$9280$	$2$	9280.a	1.a	$1$	$1$	$1$	$74.101$	\(\Q\)	None	✓				4640.2.a.b	$1$	$0$	\(0\)	\(-2\)	\(-1\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-q^{5}+4q^{7}+q^{9}+2q^{11}+\cdots\)
9280.2.a.f	$9280$	$2$	9280.a	1.a	$1$	$1$	$1$	$74.101$	\(\Q\)	None	✓				580.2.a.b	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-2q^{7}-3q^{9}+4q^{11}+6q^{13}+\cdots\)
9280.2.a.r	$9280$	$2$	9280.a	1.a	$1$	$1$	$1$	$74.101$	\(\Q\)	None	✓				4640.2.a.b	$1$	$0$	\(0\)	\(2\)	\(-1\)	\(-4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-q^{5}-4q^{7}+q^{9}-2q^{11}+\cdots\)
9280.2.a.x	$9280$	$2$	9280.a	1.a	$1$	$2$	$2$	$74.101$	\(\Q(\sqrt{13}) \)	None	✓				290.2.a.c	$1$	$0$	\(0\)	\(-1\)	\(-2\)	\(3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}-q^{5}+(1+\beta )q^{7}+\beta q^{9}+(-2+\cdots)q^{11}+\cdots\)
9280.2.a.bj	$9280$	$2$	9280.a	1.a	$1$	$3$	$3$	$74.101$	3.3.148.1	None	✓				145.2.a.c	$1$	$0$	\(0\)	\(-2\)	\(-3\)	\(4\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}-q^{5}+(1+\beta _{1})q^{7}+\cdots\)
9280.2.a.bs	$9280$	$2$	9280.a	1.a	$1$	$3$	$3$	$74.101$	3.3.148.1	None	✓				1160.2.a.f	$1$	$0$	\(0\)	\(2\)	\(-3\)	\(-4\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}-q^{5}+(-1-\beta _{1})q^{7}+\cdots\)
9280.2.a.cj	$9280$	$2$	9280.a	1.a	$1$	$5$	$5$	$74.101$	5.5.6083172.1	None	✓				1160.2.a.i	$1$	$0$	\(0\)	\(1\)	\(-5\)	\(-1\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-q^{5}+(-\beta _{2}+\beta _{3})q^{7}+(2+\cdots)q^{9}+\cdots\)
9280.2.a.cq	$9280$	$2$	9280.a	1.a	$1$	$7$	$7$	$74.101$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓				4640.2.a.w	$1$	$0$	\(0\)	\(-1\)	\(-7\)	\(1\)		$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}+(-\beta _{1}+\beta _{5})q^{7}+(1+\cdots)q^{9}+\cdots\)
9280.2.a.cr	$9280$	$2$	9280.a	1.a	$1$	$7$	$7$	$74.101$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓				4640.2.a.w	$1$	$0$	\(0\)	\(1\)	\(-7\)	\(-1\)		$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-q^{5}+(\beta _{1}-\beta _{5})q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)

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