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Results (8 matches)

 

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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	19	79
6004.2.a.a	$6004$	$2$	6004.a	1.a	$1$	$1$	$1$	$47.942$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-1\)	\(-5\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-q^{5}-5q^{7}+q^{9}+q^{11}-2q^{13}+\cdots\)
6004.2.a.b	$6004$	$2$	6004.a	1.a	$1$	$1$	$1$	$47.942$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-4q^{7}-3q^{9}+2q^{11}-4q^{13}+\cdots\)
6004.2.a.c	$6004$	$2$	6004.a	1.a	$1$	$1$	$1$	$47.942$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-3\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-3q^{5}-q^{7}-2q^{9}+5q^{13}+\cdots\)
6004.2.a.d	$6004$	$2$	6004.a	1.a	$1$	$8$	$8$	$47.942$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{5}-\beta _{4}q^{7}-3q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots\)
6004.2.a.e	$6004$	$2$	6004.a	1.a	$1$	$24$	$24$	$47.942$		None	✓	$1$	$0$	\(0\)	\(1\)	\(9\)	\(2\)		$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
6004.2.a.f	$6004$	$2$	6004.a	1.a	$1$	$25$	$25$	$47.942$		None	✓	$1$	$1$	\(0\)	\(4\)	\(-8\)	\(2\)		$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$
6004.2.a.g	$6004$	$2$	6004.a	1.a	$1$	$27$	$27$	$47.942$		None	✓	$1$	$1$	\(0\)	\(-4\)	\(-10\)	\(-8\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
6004.2.a.h	$6004$	$2$	6004.a	1.a	$1$	$31$	$31$	$47.942$		None	✓	$1$	$0$	\(0\)	\(-4\)	\(10\)	\(11\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$