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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.h	$9280$	$2$	9280.a	1.a	$1$	$1$	$1$	$74.101$	\(\Q\)	None	✓				1160.2.a.b	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-3q^{9}+2q^{13}-6q^{17}+8q^{19}+\cdots\)
9280.2.a.be	$9280$	$2$	9280.a	1.a	$1$	$2$	$2$	$74.101$	\(\Q(\sqrt{2}) \)	None	✓				145.2.a.b	$1$	$1$	\(0\)	\(4\)	\(-2\)	\(-4\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+2q^{3}-q^{5}+(-2-\beta )q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots\)
9280.2.a.bh	$9280$	$2$	9280.a	1.a	$1$	$3$	$3$	$74.101$	3.3.148.1	None	✓				580.2.a.d	$1$	$1$	\(0\)	\(-2\)	\(-3\)	\(2\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}-q^{5}+(1-\beta _{2})q^{7}+\cdots\)
9280.2.a.bp	$9280$	$2$	9280.a	1.a	$1$	$3$	$3$	$74.101$	3.3.469.1	None	✓				290.2.a.d	$1$	$1$	\(0\)	\(1\)	\(-3\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}-q^{5}-\beta _{1}q^{7}+(1+\beta _{1}-2\beta _{2})q^{9}+\cdots\)
9280.2.a.cg	$9280$	$2$	9280.a	1.a	$1$	$5$	$5$	$74.101$	5.5.580484.1	None	✓				1160.2.a.j	$1$	$1$	\(0\)	\(-3\)	\(-5\)	\(7\)		$+$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{3})q^{3}-q^{5}+(1-\beta _{2}+\beta _{3}+\cdots)q^{7}+\cdots\)
9280.2.a.cm	$9280$	$2$	9280.a	1.a	$1$	$6$	$6$	$74.101$	6.6.39643024.1	None	✓				4640.2.a.t	$1$	$1$	\(0\)	\(-1\)	\(-6\)	\(5\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}+(1+\beta _{3})q^{7}+\beta _{2}q^{9}+\cdots\)
9280.2.a.co	$9280$	$2$	9280.a	1.a	$1$	$6$	$6$	$74.101$	6.6.39643024.1	None	✓				4640.2.a.t	$1$	$1$	\(0\)	\(1\)	\(-6\)	\(-5\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-q^{5}+(-1-\beta _{3})q^{7}+\beta _{2}q^{9}+\cdots\)

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