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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 (14 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	19	53	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6042.2.a.a	$6042$	$2$	6042.a	1.a	$1$	$1$	$1$	$48.246$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-2\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}+q^{7}+\cdots\)
6042.2.a.f	$6042$	$2$	6042.a	1.a	$1$	$1$	$1$	$48.246$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(-1\)	\(-1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
6042.2.a.g	$6042$	$2$	6042.a	1.a	$1$	$1$	$1$	$48.246$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(-1\)	\(1\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
6042.2.a.k	$6042$	$2$	6042.a	1.a	$1$	$1$	$1$	$48.246$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(1\)	\(1\)	\(-2\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots\)
6042.2.a.o	$6042$	$2$	6042.a	1.a	$1$	$2$	$2$	$48.246$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(-3\)	\(2\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}-q^{6}+\cdots\)
6042.2.a.p	$6042$	$2$	6042.a	1.a	$1$	$2$	$2$	$48.246$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(2\)	\(2\)	\(1\)	\(-1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+\beta q^{5}+q^{6}-\beta q^{7}+\cdots\)
6042.2.a.s	$6042$	$2$	6042.a	1.a	$1$	$3$	$3$	$48.246$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(3\)	\(3\)	\(-7\)	\(-7\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+(-2-\beta _{1})q^{5}+q^{6}+\cdots\)
6042.2.a.v	$6042$	$2$	6042.a	1.a	$1$	$6$	$6$	$48.246$	6.6.21848308.1	None	✓	$1$	$1$	\(-6\)	\(6\)	\(3\)	\(-7\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+\beta _{4}q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
6042.2.a.x	$6042$	$2$	6042.a	1.a	$1$	$6$	$6$	$48.246$	6.6.48689336.1	None	✓	$1$	$1$	\(6\)	\(6\)	\(-8\)	\(-6\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+(-1-\beta _{1})q^{5}+q^{6}+\cdots\)
6042.2.a.y	$6042$	$2$	6042.a	1.a	$1$	$7$	$7$	$48.246$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-7\)	\(7\)	\(4\)	\(-9\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+(1-\beta _{1})q^{5}-q^{6}+\cdots\)
6042.2.a.bb	$6042$	$2$	6042.a	1.a	$1$	$9$	$9$	$48.246$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(9\)	\(-9\)	\(-5\)	\(-5\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(-1-\beta _{2})q^{5}-q^{6}+\cdots\)
6042.2.a.bc	$6042$	$2$	6042.a	1.a	$1$	$9$	$9$	$48.246$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(9\)	\(-9\)	\(-3\)	\(-7\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
6042.2.a.bd	$6042$	$2$	6042.a	1.a	$1$	$11$	$11$	$48.246$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(-11\)	\(-11\)	\(2\)	\(-2\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}+\beta _{5}q^{7}+\cdots\)
6042.2.a.be	$6042$	$2$	6042.a	1.a	$1$	$12$	$12$	$48.246$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-12\)	\(-12\)	\(-3\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}+\beta _{10}q^{7}+\cdots\)

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