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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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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 (15 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	7	17	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1666.2.a.a	$1666$	$2$	1666.a	1.a	$1$	$1$	$1$	$13.303$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-3\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-3q^{3}+q^{4}+2q^{5}+3q^{6}-q^{8}+\cdots\)
1666.2.a.b	$1666$	$2$	1666.a	1.a	$1$	$1$	$1$	$13.303$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-2\)	\(-4\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}-4q^{5}+2q^{6}-q^{8}+\cdots\)
1666.2.a.c	$1666$	$2$	1666.a	1.a	$1$	$1$	$1$	$13.303$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-2\)	\(3\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}+3q^{5}+2q^{6}-q^{8}+\cdots\)
1666.2.a.d	$1666$	$2$	1666.a	1.a	$1$	$1$	$1$	$13.303$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-2\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}-q^{8}+\cdots\)
1666.2.a.e	$1666$	$2$	1666.a	1.a	$1$	$1$	$1$	$13.303$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+2q^{5}-q^{8}-3q^{9}-2q^{10}+\cdots\)
1666.2.a.f	$1666$	$2$	1666.a	1.a	$1$	$1$	$1$	$13.303$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}-q^{8}+\cdots\)
1666.2.a.g	$1666$	$2$	1666.a	1.a	$1$	$1$	$1$	$13.303$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(2\)	\(-3\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}+q^{4}-3q^{5}-2q^{6}-q^{8}+\cdots\)
1666.2.a.h	$1666$	$2$	1666.a	1.a	$1$	$1$	$1$	$13.303$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(3\)	\(-2\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+3q^{3}+q^{4}-2q^{5}-3q^{6}-q^{8}+\cdots\)
1666.2.a.j	$1666$	$2$	1666.a	1.a	$1$	$1$	$1$	$13.303$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-2q^{5}+q^{8}-3q^{9}-2q^{10}+\cdots\)
1666.2.a.k	$1666$	$2$	1666.a	1.a	$1$	$1$	$1$	$13.303$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-1\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}+q^{8}-3q^{9}-q^{10}+\cdots\)
1666.2.a.l	$1666$	$2$	1666.a	1.a	$1$	$1$	$1$	$13.303$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(1\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}+q^{8}-3q^{9}+q^{10}+\cdots\)
1666.2.a.p	$1666$	$2$	1666.a	1.a	$1$	$2$	$2$	$13.303$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-4\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}+(-2+\beta )q^{5}-\beta q^{6}+\cdots\)
1666.2.a.r	$1666$	$2$	1666.a	1.a	$1$	$2$	$2$	$13.303$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(-2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1-\beta )q^{5}+\cdots\)
1666.2.a.v	$1666$	$2$	1666.a	1.a	$1$	$4$	$4$	$13.303$	4.4.4352.1	None	✓	$1$	$1$	\(-4\)	\(0\)	\(-4\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(\beta _{1}-\beta _{3})q^{3}+q^{4}+(-1+\beta _{2}+\cdots)q^{5}+\cdots\)
1666.2.a.x	$1666$	$2$	1666.a	1.a	$1$	$4$	$4$	$13.303$	4.4.4352.1	None	✓	$1$	$1$	\(4\)	\(-4\)	\(-8\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta _{2}-\beta _{3})q^{3}+q^{4}+(-2+\cdots)q^{5}+\cdots\)

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