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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 (11 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.c	$9280$	$2$	9280.a	1.a	$1$	$1$	$1$	$74.101$	\(\Q\)	None	✓				4640.2.a.a	$1$	$0$	\(0\)	\(-2\)	\(1\)	\(-2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{5}-2q^{7}+q^{9}+4q^{11}+\cdots\)
9280.2.a.n	$9280$	$2$	9280.a	1.a	$1$	$1$	$1$	$74.101$	\(\Q\)	None	✓				580.2.a.a	$1$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-3q^{9}+2q^{11}+2q^{13}+2q^{19}+\cdots\)
9280.2.a.u	$9280$	$2$	9280.a	1.a	$1$	$1$	$1$	$74.101$	\(\Q\)	None	✓				4640.2.a.a	$1$	$0$	\(0\)	\(2\)	\(1\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{5}+2q^{7}+q^{9}-4q^{11}+\cdots\)
9280.2.a.z	$9280$	$2$	9280.a	1.a	$1$	$2$	$2$	$74.101$	\(\Q(\sqrt{13}) \)	None	✓				290.2.a.b	$1$	$0$	\(0\)	\(-1\)	\(2\)	\(5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+q^{5}+(3-\beta )q^{7}+\beta q^{9}+(2+\cdots)q^{11}+\cdots\)
9280.2.a.bg	$9280$	$2$	9280.a	1.a	$1$	$3$	$3$	$74.101$	3.3.229.1	None	✓				4640.2.a.j	$1$	$0$	\(0\)	\(-3\)	\(3\)	\(7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{3}+q^{5}+(2+2\beta _{1}-\beta _{2})q^{7}+\cdots\)
9280.2.a.bu	$9280$	$2$	9280.a	1.a	$1$	$3$	$3$	$74.101$	3.3.148.1	None	✓				145.2.a.d	$1$	$0$	\(0\)	\(2\)	\(3\)	\(-2\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+q^{5}+(-1+\beta _{2})q^{7}+\cdots\)
9280.2.a.bv	$9280$	$2$	9280.a	1.a	$1$	$3$	$3$	$74.101$	3.3.148.1	None	✓				1160.2.a.e	$1$	$0$	\(0\)	\(2\)	\(3\)	\(2\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+q^{5}+(1-\beta _{2})q^{7}+(1+\cdots)q^{9}+\cdots\)
9280.2.a.bx	$9280$	$2$	9280.a	1.a	$1$	$3$	$3$	$74.101$	3.3.229.1	None	✓				4640.2.a.j	$1$	$0$	\(0\)	\(3\)	\(3\)	\(-7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{3}+q^{5}+(-2-2\beta _{1}+\beta _{2})q^{7}+\cdots\)
9280.2.a.bz	$9280$	$2$	9280.a	1.a	$1$	$4$	$4$	$74.101$	4.4.11344.1	None	✓				4640.2.a.l	$1$	$0$	\(0\)	\(-2\)	\(4\)	\(-2\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{3}+q^{5}+\beta _{3}q^{7}+(2-\beta _{1}-\beta _{2}+\cdots)q^{9}+\cdots\)
9280.2.a.cf	$9280$	$2$	9280.a	1.a	$1$	$4$	$4$	$74.101$	4.4.11344.1	None	✓				4640.2.a.l	$1$	$0$	\(0\)	\(2\)	\(4\)	\(2\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{3}+q^{5}-\beta _{3}q^{7}+(2-\beta _{1}-\beta _{2}+\cdots)q^{9}+\cdots\)
9280.2.a.ck	$9280$	$2$	9280.a	1.a	$1$	$5$	$5$	$74.101$	5.5.3145252.1	None	✓		✓		1160.2.a.h	$1$	$0$	\(0\)	\(1\)	\(5\)	\(7\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{3}+q^{5}+(1-\beta _{2})q^{7}+(2-\beta _{2}+\cdots)q^{9}+\cdots\)

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