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Results (10 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
456.1.l.a	$456$	$1$	456.l	456.l	$2$	$1$	$1$	$0.228$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-114}) \)	\(\Q(\sqrt{57}) \)	✓	✓			456.1.l.a	$4$	$0$	\(-1\)	\(1\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
456.1.l.b	$456$	$1$	456.l	456.l	$2$	$1$	$1$	$0.228$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-114}) \)	\(\Q(\sqrt{57}) \)	✓	✓			456.1.l.a	$4$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
1824.1.l.a	$1824$	$1$	1824.l	456.l	$2$	$1$	$1$	$0.910$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-114}) \)	\(\Q(\sqrt{57}) \)	✓				456.1.l.a	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{9}+q^{19}-q^{25}-q^{27}+2q^{41}+\cdots\)
1824.1.l.b	$1824$	$1$	1824.l	456.l	$2$	$1$	$1$	$0.910$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-114}) \)	\(\Q(\sqrt{57}) \)	✓				456.1.l.a	$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{9}+q^{19}-q^{25}+q^{27}-2q^{41}+\cdots\)
2280.1.t.e	$2280$	$1$	2280.t	2280.t	$2$	$2$	$2$	$1.138$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-95}) \), \(\Q(\sqrt{-114}) \)	\(\Q(\sqrt{30}) \)		✓			2280.1.t.e	$8$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-iq^{2}-iq^{3}-q^{4}-q^{5}-q^{6}+iq^{8}+\cdots\)
2280.1.t.f	$2280$	$1$	2280.t	2280.t	$2$	$2$	$2$	$1.138$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-114}) \)	\(\Q(\sqrt{190}) \)		✓			2280.1.t.f	$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}+iq^{3}-q^{4}-iq^{5}+q^{6}+iq^{8}+\cdots\)
2280.1.t.g	$2280$	$1$	2280.t	2280.t	$2$	$2$	$2$	$1.138$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-114}) \)	\(\Q(\sqrt{190}) \)		✓			2280.1.t.f	$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+iq^{2}-iq^{3}-q^{4}-iq^{5}+q^{6}-iq^{8}+\cdots\)
2280.1.t.h	$2280$	$1$	2280.t	2280.t	$2$	$2$	$2$	$1.138$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-95}) \), \(\Q(\sqrt{-114}) \)	\(\Q(\sqrt{30}) \)		✓			2280.1.t.e	$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-iq^{2}-iq^{3}-q^{4}+q^{5}-q^{6}+iq^{8}+\cdots\)
1368.2.e.c	$1368$	$2$	1368.e	152.b	$2$	$8$	$8$	$10.924$	8.0.\(\cdots\).11	$_{}$	\(\Q(\sqrt{-114}) \)	None		✓			1368.2.e.c	$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{5}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{1}q^{2}-2q^{4}-\beta _{2}q^{5}-2\beta _{1}q^{8}+\cdots\)
5472.2.e.c	$5472$	$2$	5472.e	152.b	$2$	$8$	$8$	$43.694$	8.0.\(\cdots\).11	$_{}$	\(\Q(\sqrt{-114}) \)	None					1368.2.e.c	$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{7}$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{1}q^{5}-\beta _{5}q^{13}+\beta _{4}q^{19}+\beta _{6}q^{23}+\cdots\)