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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	7	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2415.2.a.a	$2415$	$2$	2415.a	1.a	$1$	$1$	$1$	$19.284$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-1\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
2415.2.a.c	$2415$	$2$	2415.a	1.a	$1$	$1$	$1$	$19.284$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(1\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2415.2.a.d	$2415$	$2$	2415.a	1.a	$1$	$1$	$1$	$19.284$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(1\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
2415.2.a.e	$2415$	$2$	2415.a	1.a	$1$	$1$	$1$	$19.284$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-1\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}-q^{5}+q^{7}+q^{9}-3q^{11}+\cdots\)
2415.2.a.f	$2415$	$2$	2415.a	1.a	$1$	$1$	$1$	$19.284$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(-1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-q^{5}-q^{7}+q^{9}+q^{11}+\cdots\)
2415.2.a.g	$2415$	$2$	2415.a	1.a	$1$	$1$	$1$	$19.284$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-q^{5}+q^{7}+q^{9}+3q^{11}+\cdots\)
2415.2.a.i	$2415$	$2$	2415.a	1.a	$1$	$1$	$1$	$19.284$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(1\)	\(1\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}-q^{7}+\cdots\)
2415.2.a.j	$2415$	$2$	2415.a	1.a	$1$	$2$	$2$	$19.284$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-2\)	\(-2\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+q^{4}-q^{5}+\beta q^{6}-q^{7}+\cdots\)
2415.2.a.k	$2415$	$2$	2415.a	1.a	$1$	$2$	$2$	$19.284$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-2\)	\(2\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+q^{4}-q^{5}+\beta q^{6}+q^{7}+\cdots\)
2415.2.a.l	$2415$	$2$	2415.a	1.a	$1$	$3$	$3$	$19.284$	3.3.148.1	None	✓	$1$	$1$	\(-3\)	\(-3\)	\(-3\)	\(3\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{2}-q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
2415.2.a.m	$2415$	$2$	2415.a	1.a	$1$	$3$	$3$	$19.284$	3.3.148.1	None	✓	$1$	$1$	\(-1\)	\(-3\)	\(3\)	\(3\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots\)
2415.2.a.n	$2415$	$2$	2415.a	1.a	$1$	$3$	$3$	$19.284$	3.3.148.1	None	✓	$1$	$1$	\(1\)	\(-3\)	\(3\)	\(-3\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots\)
2415.2.a.o	$2415$	$2$	2415.a	1.a	$1$	$5$	$5$	$19.284$	5.5.2508628.1	None	✓	$1$	$1$	\(0\)	\(-5\)	\(-5\)	\(-5\)		$+$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)

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