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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3815.1.h.a	$3815$	$1$	3815.h	3815.h	$2$	$1$	$1$	$1.904$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-35}) \), \(\Q(\sqrt{-3815}) \)	\(\Q(\sqrt{109}) \)	✓	$4$	$0$	\(0\)	\(-2\)	\(1\)	\(-1\)	$1$		\(q-2q^{3}-q^{4}+q^{5}-q^{7}+3q^{9}+2q^{12}+\cdots\)
3815.1.h.b	$3815$	$1$	3815.h	3815.h	$2$	$1$	$1$	$1.904$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-35}) \), \(\Q(\sqrt{-3815}) \)	\(\Q(\sqrt{109}) \)	✓	$4$	$0$	\(0\)	\(2\)	\(-1\)	\(1\)	$1$		\(q+2q^{3}-q^{4}-q^{5}+q^{7}+3q^{9}-2q^{12}+\cdots\)
3815.1.h.c	$3815$	$1$	3815.h	3815.h	$2$	$3$	$3$	$1.904$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-3815}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(3\)	\(3\)	$1$		\(q-\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
3815.1.h.d	$3815$	$1$	3815.h	3815.h	$2$	$3$	$3$	$1.904$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-3815}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(-3\)	\(-3\)	$1$		\(q-\beta _{1}q^{2}+\beta _{1}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
3815.1.h.e	$3815$	$1$	3815.h	3815.h	$2$	$3$	$3$	$1.904$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-3815}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(3\)	\(3\)	$1$		\(q+\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
3815.1.h.f	$3815$	$1$	3815.h	3815.h	$2$	$3$	$3$	$1.904$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-3815}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(-3\)	\(-3\)	$1$		\(q+\beta _{1}q^{2}+\beta _{1}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
3815.1.h.g	$3815$	$1$	3815.h	3815.h	$2$	$6$	$6$	$1.904$	\(\Q(\zeta_{28})^+\)	$D_{14}$	\(\Q(\sqrt{-3815}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(-6\)	\(6\)	$1$		\(q-\beta _{3}q^{2}+(-1+\beta _{2}+\beta _{4})q^{3}+(1+\beta _{4}+\cdots)q^{4}+\cdots\)
3815.1.h.h	$3815$	$1$	3815.h	3815.h	$2$	$6$	$6$	$1.904$	\(\Q(\zeta_{28})^+\)	$D_{14}$	\(\Q(\sqrt{-3815}) \)	None	✓	$4$	$0$	\(0\)	\(2\)	\(6\)	\(-6\)	$1$		\(q+\beta _{3}q^{2}+(1-\beta _{2}-\beta _{4})q^{3}+(1+\beta _{4}+\cdots)q^{4}+\cdots\)