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Results (6 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1443.1.c.a	$1443$	$1$	1443.c	1443.c	$2$	$1$	$1$	$0.720$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1443}) \)	\(\Q(\sqrt{481}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}+q^{9}-q^{12}-q^{13}+q^{16}+\cdots\)
1443.1.c.b	$1443$	$1$	1443.c	1443.c	$2$	$1$	$1$	$0.720$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1443}) \)	\(\Q(\sqrt{481}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}+q^{9}-q^{12}+q^{13}+q^{16}+\cdots\)
1924.1.e.a	$1924$	$1$	1924.e	1924.e	$2$	$1$	$1$	$0.960$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-481}) \)	\(\Q(\sqrt{481}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(2\)	\(0\)	$1$		\(q-q^{2}+q^{4}+2q^{5}-q^{8}+q^{9}-2q^{10}+\cdots\)
1924.1.e.b	$1924$	$1$	1924.e	1924.e	$2$	$1$	$1$	$0.960$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-481}) \)	\(\Q(\sqrt{481}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+q^{2}+q^{4}-2q^{5}+q^{8}+q^{9}-2q^{10}+\cdots\)
2405.1.bb.a	$2405$	$1$	2405.bb	2405.ab	$4$	$4$	$2$	$1.200$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{481}) \)		$8$	$0$	\(0\)	\(4\)	\(0\)	\(0\)	$1$		\(q-\zeta_{8}q^{2}+(1-\zeta_{8}^{2})q^{3}+3\zeta_{8}^{2}q^{4}+\cdots\)
3848.1.l.a	$3848$	$1$	3848.l	3848.l	$2$	$2$	$2$	$1.920$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-26}) \), \(\Q(\sqrt{-74}) \)	\(\Q(\sqrt{481}) \)		$8$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-q^{3}-q^{4}-iq^{5}+2iq^{6}+\cdots\)