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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 (9 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	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7935.2.a.d	$7935$	$2$	7935.a	1.a	$1$	$1$	$1$	$63.361$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(-1\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}-q^{5}+q^{6}+3q^{8}+\cdots\)
7935.2.a.f	$7935$	$2$	7935.a	1.a	$1$	$1$	$1$	$63.361$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-1\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}-q^{5}-2q^{7}+q^{9}+q^{11}+\cdots\)
7935.2.a.k	$7935$	$2$	7935.a	1.a	$1$	$1$	$1$	$63.361$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(-1\)	\(-1\)	\(-3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-q^{3}+2q^{4}-q^{5}-2q^{6}-3q^{7}+\cdots\)
7935.2.a.n	$7935$	$2$	7935.a	1.a	$1$	$2$	$2$	$63.361$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(-2\)	\(-2\)	\(-2\)	\(6\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}-q^{3}+(2-2\beta )q^{4}-q^{5}+\cdots\)
7935.2.a.o	$7935$	$2$	7935.a	1.a	$1$	$2$	$2$	$63.361$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-2\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-q^{3}-q^{5}-\beta q^{6}+(2-2\beta )q^{7}+\cdots\)
7935.2.a.v	$7935$	$2$	7935.a	1.a	$1$	$3$	$3$	$63.361$	3.3.148.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-3\)	\(1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}-q^{3}+(1-\beta _{1}-\beta _{2})q^{4}-q^{5}+\cdots\)
7935.2.a.x	$7935$	$2$	7935.a	1.a	$1$	$3$	$3$	$63.361$	3.3.756.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-3\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
7935.2.a.bd	$7935$	$2$	7935.a	1.a	$1$	$6$	$6$	$63.361$	6.6.22733568.1	None	✓	$1$	$0$	\(0\)	\(-6\)	\(-6\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
7935.2.a.bt	$7935$	$2$	7935.a	1.a	$1$	$25$	$25$	$63.361$		None	✓	$1$	$0$	\(1\)	\(-25\)	\(-25\)	\(15\)		$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$

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