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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.m	$9280$	$2$	9280.a	1.a	$1$	$1$	$1$	$74.101$	\(\Q\)	None	✓				580.2.a.a	$1$	$1$	\(0\)	\(0\)	\(1\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-3q^{9}-2q^{11}+2q^{13}-2q^{19}+\cdots\)
9280.2.a.y	$9280$	$2$	9280.a	1.a	$1$	$2$	$2$	$74.101$	\(\Q(\sqrt{5}) \)	None	✓				4640.2.a.g	$1$	$1$	\(0\)	\(-1\)	\(2\)	\(-1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+q^{5}+(1-3\beta )q^{7}+(-2+\beta )q^{9}+\cdots\)
9280.2.a.bc	$9280$	$2$	9280.a	1.a	$1$	$2$	$2$	$74.101$	\(\Q(\sqrt{13}) \)	None	✓				290.2.a.b	$1$	$1$	\(0\)	\(1\)	\(2\)	\(-5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+q^{5}+(-3+\beta )q^{7}+\beta q^{9}+\cdots\)
9280.2.a.bd	$9280$	$2$	9280.a	1.a	$1$	$2$	$2$	$74.101$	\(\Q(\sqrt{5}) \)	None	✓				4640.2.a.g	$1$	$1$	\(0\)	\(1\)	\(2\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+q^{5}+(-1+3\beta )q^{7}+(-2+\cdots)q^{9}+\cdots\)
9280.2.a.bl	$9280$	$2$	9280.a	1.a	$1$	$3$	$3$	$74.101$	3.3.148.1	None	✓				1160.2.a.e	$1$	$1$	\(0\)	\(-2\)	\(3\)	\(-2\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+q^{5}+(-1+\beta _{2})q^{7}+\cdots\)
9280.2.a.bm	$9280$	$2$	9280.a	1.a	$1$	$3$	$3$	$74.101$	3.3.148.1	None	✓				145.2.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.cc	$9280$	$2$	9280.a	1.a	$1$	$4$	$4$	$74.101$	\(\Q(\zeta_{24})^+\)	None	✓				4640.2.a.m	$2$	$1$	\(0\)	\(0\)	\(4\)	\(0\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+q^{5}-\beta _{2}q^{7}-q^{9}+\beta _{3}q^{11}+\cdots\)
9280.2.a.cd	$9280$	$2$	9280.a	1.a	$1$	$4$	$4$	$74.101$	\(\Q(\sqrt{6}, \sqrt{26})\)	None	✓				4640.2.a.o	$2$	$1$	\(0\)	\(0\)	\(4\)	\(0\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+q^{5}+\beta _{1}q^{7}+3q^{9}-\beta _{2}q^{11}+\cdots\)
9280.2.a.ci	$9280$	$2$	9280.a	1.a	$1$	$5$	$5$	$74.101$	5.5.3145252.1	None	✓		✓		1160.2.a.h	$1$	$1$	\(0\)	\(-1\)	\(5\)	\(-7\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{3}+q^{5}+(-1+\beta _{2})q^{7}+(2-\beta _{2}+\cdots)q^{9}+\cdots\)

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