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Level	Weight	Analytic conductor	\(Nk^2\)	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (13 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	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	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	5	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2280.2.a.b	$2280$	$2$	2280.a	1.a	$1$	$1$	$1$	$18.206$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(0\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots\)
2280.2.a.c	$2280$	$2$	2280.a	1.a	$1$	$1$	$1$	$18.206$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(2\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+2q^{7}+q^{9}-2q^{13}-q^{15}+\cdots\)
2280.2.a.d	$2280$	$2$	2280.a	1.a	$1$	$1$	$1$	$18.206$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(2\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+2q^{7}+q^{9}+6q^{11}+4q^{13}+\cdots\)
2280.2.a.e	$2280$	$2$	2280.a	1.a	$1$	$1$	$1$	$18.206$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-1\)	\(-2\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}-2q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
2280.2.a.h	$2280$	$2$	2280.a	1.a	$1$	$1$	$1$	$18.206$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(1\)	\(0\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
2280.2.a.i	$2280$	$2$	2280.a	1.a	$1$	$1$	$1$	$18.206$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(1\)	\(4\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+4q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
2280.2.a.j	$2280$	$2$	2280.a	1.a	$1$	$1$	$1$	$18.206$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(1\)	\(4\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+4q^{7}+q^{9}+2q^{13}+q^{15}+\cdots\)
2280.2.a.l	$2280$	$2$	2280.a	1.a	$1$	$2$	$2$	$18.206$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-2\)	\(0\)		$-$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+\beta q^{7}+q^{9}-\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
2280.2.a.n	$2280$	$2$	2280.a	1.a	$1$	$2$	$2$	$18.206$	\(\Q(\sqrt{7}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(2\)	\(-2\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+(-1+\beta )q^{7}+q^{9}+(-3+\cdots)q^{11}+\cdots\)
2280.2.a.p	$2280$	$2$	2280.a	1.a	$1$	$2$	$2$	$18.206$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(-2\)	\(6\)		$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+(3+\beta )q^{7}+q^{9}+(1-\beta )q^{11}+\cdots\)
2280.2.a.r	$2280$	$2$	2280.a	1.a	$1$	$3$	$3$	$18.206$	3.3.568.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-3\)	\(-2\)		$+$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+(-1-\beta _{2})q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
2280.2.a.t	$2280$	$2$	2280.a	1.a	$1$	$3$	$3$	$18.206$	3.3.1016.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(-3\)	\(0\)		$+$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+\beta _{2}q^{7}+q^{9}+(1-\beta _{1}+\cdots)q^{11}+\cdots\)
2280.2.a.u	$2280$	$2$	2280.a	1.a	$1$	$3$	$3$	$18.206$	3.3.1772.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(3\)	\(0\)		$+$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+\beta _{2}q^{7}+q^{9}+(2+\beta _{2})q^{11}+\cdots\)

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