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Results (4 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2756.1.h.a	$2756$	$1$	2756.h	2756.h	$2$	$1$	$1$	$1.375$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-689}) \)	\(\Q(\sqrt{689}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-q^{2}+q^{4}-2q^{5}-q^{8}-q^{9}+2q^{10}+\cdots\)
2756.1.h.b	$2756$	$1$	2756.h	2756.h	$2$	$1$	$1$	$1.375$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-689}) \)	\(\Q(\sqrt{689}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(2\)	\(0\)	$1$		\(q+q^{2}+q^{4}+2q^{5}+q^{8}-q^{9}+2q^{10}+\cdots\)
2756.1.h.e	$2756$	$1$	2756.h	2756.h	$2$	$2$	$2$	$1.375$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-13}) \), \(\Q(\sqrt{-53}) \)	\(\Q(\sqrt{689}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-q^{4}+iq^{8}-q^{9}-q^{13}+q^{16}+\cdots\)
2756.1.h.j	$2756$	$1$	2756.h	2756.h	$2$	$4$	$4$	$1.375$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{689}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(-\zeta_{8}+\zeta_{8}^{3})q^{5}+\cdots\)