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Results (8 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3335.1.h.a	$3335$	$1$	3335.h	3335.h	$2$	$1$	$1$	$1.664$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-115}) \), \(\Q(\sqrt{-3335}) \)	\(\Q(\sqrt{29}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(2\)	$1$		\(q-q^{4}-q^{5}+2q^{7}-q^{9}+q^{16}+q^{20}+\cdots\)
3335.1.h.b	$3335$	$1$	3335.h	3335.h	$2$	$1$	$1$	$1.664$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-115}) \), \(\Q(\sqrt{-3335}) \)	\(\Q(\sqrt{29}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(-2\)	$1$		\(q-q^{4}+q^{5}-2q^{7}-q^{9}+q^{16}-q^{20}+\cdots\)
3335.1.h.c	$3335$	$1$	3335.h	3335.h	$2$	$2$	$2$	$1.664$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3335}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\beta q^{2}-\beta q^{3}+q^{4}-q^{5}+2q^{6}+q^{9}+\cdots\)
3335.1.h.d	$3335$	$1$	3335.h	3335.h	$2$	$2$	$2$	$1.664$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3335}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\beta q^{2}-\beta q^{3}+q^{4}+q^{5}+2q^{6}+q^{9}+\cdots\)
3335.1.h.e	$3335$	$1$	3335.h	3335.h	$2$	$4$	$4$	$1.664$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-3335}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)	$1$		\(q+\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
3335.1.h.f	$3335$	$1$	3335.h	3335.h	$2$	$4$	$4$	$1.664$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-3335}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(4\)	\(0\)	$1$		\(q+\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
3335.1.h.g	$3335$	$1$	3335.h	3335.h	$2$	$8$	$8$	$1.664$	\(\Q(\zeta_{32})^+\)	$D_{16}$	\(\Q(\sqrt{-3335}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-8\)	\(0\)	$1$		\(q+\beta _{3}q^{2}+\beta _{5}q^{3}+(1+\beta _{6})q^{4}-q^{5}+\cdots\)
3335.1.h.h	$3335$	$1$	3335.h	3335.h	$2$	$8$	$8$	$1.664$	\(\Q(\zeta_{32})^+\)	$D_{16}$	\(\Q(\sqrt{-3335}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(8\)	\(0\)	$1$		\(q+\beta _{3}q^{2}+\beta _{5}q^{3}+(1+\beta _{6})q^{4}+q^{5}+\cdots\)