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Results (9 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1407.1.g.c	$1407$	$1$	1407.g	1407.g	$2$	$1$	$1$	$0.702$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1407}) \)	\(\Q(\sqrt{469}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(1\)	$1$		\(q-q^{3}-q^{4}+q^{7}+q^{9}+q^{12}-2q^{13}+\cdots\)
1407.1.g.d	$1407$	$1$	1407.g	1407.g	$2$	$1$	$1$	$0.702$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1407}) \)	\(\Q(\sqrt{469}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(-1\)	$1$		\(q+q^{3}-q^{4}-q^{7}+q^{9}-q^{12}+2q^{13}+\cdots\)
1407.1.g.h	$1407$	$1$	1407.g	1407.g	$2$	$2$	$2$	$0.702$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{469}) \)		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q+\zeta_{6}^{2}q^{3}-q^{4}+(\zeta_{6}+\zeta_{6}^{2})q^{5}-q^{7}+\cdots\)
1407.1.g.i	$1407$	$1$	1407.g	1407.g	$2$	$2$	$2$	$0.702$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{469}) \)		$4$	$0$	\(0\)	\(1\)	\(0\)	\(2\)	$1$		\(q-\zeta_{6}^{2}q^{3}-q^{4}+(-\zeta_{6}-\zeta_{6}^{2})q^{5}+\cdots\)
3283.1.b.a	$3283$	$1$	3283.b	67.b	$2$	$1$	$1$	$1.638$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-67}) \)	\(\Q(\sqrt{469}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}+q^{9}+q^{16}-2q^{23}+q^{25}+\cdots\)
3283.1.b.b	$3283$	$1$	3283.b	67.b	$2$	$2$	$2$	$1.638$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{469}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$		\(q+(\zeta_{6}+\zeta_{6}^{2})q^{3}+q^{4}+(-\zeta_{6}-\zeta_{6}^{2}+\cdots)q^{5}+\cdots\)
3283.1.r.a	$3283$	$1$	3283.r	469.r	$6$	$2$	$1$	$1.638$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{469}) \)		$4$	$0$	\(0\)	\(-3\)	\(-3\)	\(0\)	$1$		\(q+(-1+\zeta_{6}^{2})q^{3}-\zeta_{6}q^{4}+(-1-\zeta_{6}+\cdots)q^{5}+\cdots\)
3283.1.r.b	$3283$	$1$	3283.r	469.r	$6$	$2$	$1$	$1.638$	\(\Q(\sqrt{-3}) \)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-67}) \)	\(\Q(\sqrt{469}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{9}+\zeta_{6}^{2}q^{16}-\zeta_{6}^{2}q^{23}+\cdots\)
3283.1.r.c	$3283$	$1$	3283.r	469.r	$6$	$2$	$1$	$1.638$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{469}) \)		$4$	$0$	\(0\)	\(3\)	\(3\)	\(0\)	$1$		\(q+(1-\zeta_{6}^{2})q^{3}-\zeta_{6}q^{4}+(1+\zeta_{6})q^{5}+\cdots\)