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Results (8 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
915.1.e.a	$915$	$1$	915.e	915.e	$2$	$1$	$1$	$0.457$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-915}) \)	\(\Q(\sqrt{61}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(1\)	\(0\)	$1$		\(q-q^{3}+q^{4}+q^{5}+q^{9}-q^{12}-q^{15}+\cdots\)
915.1.e.b	$915$	$1$	915.e	915.e	$2$	$1$	$1$	$0.457$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-915}) \)	\(\Q(\sqrt{61}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(-1\)	\(0\)	$1$		\(q+q^{3}+q^{4}-q^{5}+q^{9}+q^{12}-q^{15}+\cdots\)
3660.1.n.a	$3660$	$1$	3660.n	915.e	$2$	$1$	$1$	$1.827$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-915}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q-q^{3}-q^{5}-q^{7}+q^{9}-2q^{11}+q^{15}+\cdots\)
3660.1.n.b	$3660$	$1$	3660.n	915.e	$2$	$1$	$1$	$1.827$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-915}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(1\)	$1$		\(q-q^{3}-q^{5}+q^{7}+q^{9}+2q^{11}+q^{15}+\cdots\)
3660.1.n.c	$3660$	$1$	3660.n	915.e	$2$	$1$	$1$	$1.827$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-915}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(-1\)	$1$		\(q+q^{3}+q^{5}-q^{7}+q^{9}+2q^{11}+q^{15}+\cdots\)
3660.1.n.d	$3660$	$1$	3660.n	915.e	$2$	$1$	$1$	$1.827$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-915}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(1\)	$1$		\(q+q^{3}+q^{5}+q^{7}+q^{9}-2q^{11}+q^{15}+\cdots\)
3660.1.n.e	$3660$	$1$	3660.n	915.e	$2$	$2$	$2$	$1.827$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-915}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(2\)	\(0\)	$1$		\(q-q^{3}+q^{5}-\beta q^{7}+q^{9}-q^{15}+q^{19}+\cdots\)
3660.1.n.f	$3660$	$1$	3660.n	915.e	$2$	$2$	$2$	$1.827$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-915}) \)	None	✓	$4$	$0$	\(0\)	\(2\)	\(-2\)	\(0\)	$1$		\(q+q^{3}-q^{5}-\beta q^{7}+q^{9}-q^{15}+q^{19}+\cdots\)