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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3615.1.h.a	$3615$	$1$	3615.h	3615.h	$2$	$1$	$1$	$1.804$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-3615}) \)	\(\Q(\sqrt{241}) \)	✓	$4$	$0$	\(-2\)	\(1\)	\(1\)	\(0\)	$1$		\(q-2q^{2}+q^{3}+3q^{4}+q^{5}-2q^{6}-4q^{8}+\cdots\)
3615.1.h.b	$3615$	$1$	3615.h	3615.h	$2$	$1$	$1$	$1.804$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3615}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(1\)	\(-2\)	$1$		\(q-q^{2}+q^{3}+q^{5}-q^{6}-2q^{7}+q^{8}+\cdots\)
3615.1.h.c	$3615$	$1$	3615.h	3615.h	$2$	$1$	$1$	$1.804$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3615}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(1\)	\(2\)	$1$		\(q-q^{2}+q^{3}+q^{5}-q^{6}+2q^{7}+q^{8}+\cdots\)
3615.1.h.d	$3615$	$1$	3615.h	3615.h	$2$	$1$	$1$	$1.804$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3615}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(-1\)	\(-2\)	$1$		\(q+q^{2}-q^{3}-q^{5}-q^{6}-2q^{7}-q^{8}+\cdots\)
3615.1.h.e	$3615$	$1$	3615.h	3615.h	$2$	$1$	$1$	$1.804$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3615}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(-1\)	\(2\)	$1$		\(q+q^{2}-q^{3}-q^{5}-q^{6}+2q^{7}-q^{8}+\cdots\)
3615.1.h.f	$3615$	$1$	3615.h	3615.h	$2$	$1$	$1$	$1.804$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-3615}) \)	\(\Q(\sqrt{241}) \)	✓	$4$	$0$	\(2\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+2q^{2}-q^{3}+3q^{4}-q^{5}-2q^{6}+4q^{8}+\cdots\)
3615.1.h.g	$3615$	$1$	3615.h	3615.h	$2$	$2$	$2$	$1.804$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-3615}) \)	None	✓	$4$	$0$	\(-2\)	\(-2\)	\(-2\)	\(0\)	$1$		\(q-q^{2}-q^{3}-q^{5}+q^{6}+q^{8}+q^{9}+\cdots\)
3615.1.h.h	$3615$	$1$	3615.h	3615.h	$2$	$2$	$2$	$1.804$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3615}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(2\)	\(0\)	$1$		\(q-q^{3}-q^{4}+q^{5}-\beta q^{7}+q^{9}-\beta q^{11}+\cdots\)
3615.1.h.i	$3615$	$1$	3615.h	3615.h	$2$	$2$	$2$	$1.804$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3615}) \)	None	✓	$4$	$0$	\(0\)	\(2\)	\(-2\)	\(0\)	$1$		\(q+q^{3}-q^{4}-q^{5}-\beta q^{7}+q^{9}+\beta q^{11}+\cdots\)
3615.1.h.j	$3615$	$1$	3615.h	3615.h	$2$	$2$	$2$	$1.804$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-3615}) \)	None	✓	$4$	$0$	\(2\)	\(2\)	\(2\)	\(0\)	$1$		\(q+q^{2}+q^{3}+q^{5}+q^{6}-q^{8}+q^{9}+\cdots\)
3615.1.h.k	$3615$	$1$	3615.h	3615.h	$2$	$4$	$4$	$1.804$	\(\Q(\zeta_{24})^+\)	$D_{12}$	\(\Q(\sqrt{-3615}) \)	None	✓	$4$	$0$	\(0\)	\(-4\)	\(4\)	\(0\)	$1$		\(q+\beta _{2}q^{2}-q^{3}+2q^{4}+q^{5}-\beta _{2}q^{6}+\cdots\)
3615.1.h.l	$3615$	$1$	3615.h	3615.h	$2$	$4$	$4$	$1.804$	\(\Q(\zeta_{24})^+\)	$D_{12}$	\(\Q(\sqrt{-3615}) \)	None	✓	$4$	$0$	\(0\)	\(4\)	\(-4\)	\(0\)	$1$		\(q+\beta _{2}q^{2}+q^{3}+2q^{4}-q^{5}+\beta _{2}q^{6}+\cdots\)