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Results (12 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1488.1.b.a	$1488$	$1$	1488.b	372.b	$2$	$1$	$1$	$0.743$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-93}) \)	\(\Q(\sqrt{31}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{9}+q^{25}-q^{27}+q^{31}+2q^{43}+\cdots\)
1488.1.b.b	$1488$	$1$	1488.b	372.b	$2$	$1$	$1$	$0.743$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-93}) \)	\(\Q(\sqrt{31}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{9}+q^{25}+q^{27}-q^{31}-2q^{43}+\cdots\)
3348.1.b.a	$3348$	$1$	3348.b	372.b	$2$	$1$	$1$	$1.671$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-93}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{8}+q^{16}-q^{17}+q^{25}+\cdots\)
3348.1.b.b	$3348$	$1$	3348.b	372.b	$2$	$1$	$1$	$1.671$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-93}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{8}+q^{16}+q^{17}+q^{25}+\cdots\)
3348.1.b.c	$3348$	$1$	3348.b	372.b	$2$	$1$	$1$	$1.671$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-93}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{8}+q^{16}-q^{17}+q^{25}+\cdots\)
3348.1.b.d	$3348$	$1$	3348.b	372.b	$2$	$1$	$1$	$1.671$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-93}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{8}+q^{16}+q^{17}+q^{25}+\cdots\)
1116.2.g.c	$1116$	$2$	1116.g	124.d	$2$	$4$	$4$	$8.911$	\(\Q(\sqrt{-2}, \sqrt{31})\)	$_{}$	\(\Q(\sqrt{-93}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{1}q^{2}-2q^{4}-2\beta _{1}q^{8}+4q^{16}+\cdots\)
372.3.b.a	$372$	$3$	372.b	372.b	$2$	$1$	$1$	$10.136$	\(\Q\)	$_{}$	\(\Q(\sqrt{-93}) \)	None	✓	$2$	$0$	\(-2\)	\(-3\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{2}-3q^{3}+4q^{4}+6q^{6}-8q^{8}+\cdots\)
372.3.b.b	$372$	$3$	372.b	372.b	$2$	$1$	$1$	$10.136$	\(\Q\)	$_{}$	\(\Q(\sqrt{-93}) \)	None	✓	$2$	$0$	\(-2\)	\(3\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{2}+3q^{3}+4q^{4}-6q^{6}-8q^{8}+\cdots\)
372.3.b.c	$372$	$3$	372.b	372.b	$2$	$1$	$1$	$10.136$	\(\Q\)	$_{}$	\(\Q(\sqrt{-93}) \)	None	✓	$2$	$0$	\(2\)	\(-3\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2q^{2}-3q^{3}+4q^{4}-6q^{6}+8q^{8}+\cdots\)
372.3.b.d	$372$	$3$	372.b	372.b	$2$	$1$	$1$	$10.136$	\(\Q\)	$_{}$	\(\Q(\sqrt{-93}) \)	None	✓	$2$	$0$	\(2\)	\(3\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2q^{2}+3q^{3}+4q^{4}+6q^{6}+8q^{8}+\cdots\)
4464.2.l.f	$4464$	$2$	4464.l	124.d	$2$	$4$	$4$	$35.645$	\(\Q(\sqrt{-6}, \sqrt{31})\)	$_{}$	\(\Q(\sqrt{-93}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{1}q^{17}-5q^{25}+3\beta _{1}q^{29}+\beta _{2}q^{31}+\cdots\)