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Results (7 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
535.1.d.a	$535$	$1$	535.d	535.d	$2$	$3$	$3$	$0.267$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-535}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(3\)	\(-1\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+\beta _{2}q^{7}+\cdots\)
535.1.d.b	$535$	$1$	535.d	535.d	$2$	$3$	$3$	$0.267$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-535}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(-3\)	\(1\)	$1$		\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}-\beta _{2}q^{7}+\cdots\)
2675.1.c.d	$2675$	$1$	2675.c	107.b	$2$	$6$	$6$	$1.335$	6.0.153664.1	$D_{7}$	\(\Q(\sqrt{-535}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+(\beta _{1}-\beta _{3}+\cdots)q^{7}+\cdots\)
3745.1.o.a	$3745$	$1$	3745.o	3745.o	$6$	$2$	$1$	$1.869$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-535}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(1\)	\(1\)	$1$		\(q-\zeta_{6}q^{2}+\zeta_{6}q^{5}+\zeta_{6}q^{7}-q^{8}-\zeta_{6}q^{9}+\cdots\)
3745.1.o.b	$3745$	$1$	3745.o	3745.o	$6$	$2$	$1$	$1.869$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-535}) \)	None		$4$	$0$	\(1\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q+\zeta_{6}q^{2}-\zeta_{6}q^{5}-\zeta_{6}q^{7}+q^{8}-\zeta_{6}q^{9}+\cdots\)
3745.1.o.e	$3745$	$1$	3745.o	3745.o	$6$	$12$	$6$	$1.869$	\(\Q(\zeta_{21})\)	$D_{21}$	\(\Q(\sqrt{-535}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(-6\)	\(1\)	$1$		\(q+(-\zeta_{42}^{3}+\zeta_{42}^{4})q^{2}+(\zeta_{42}^{6}-\zeta_{42}^{7}+\cdots)q^{4}+\cdots\)
3745.1.o.f	$3745$	$1$	3745.o	3745.o	$6$	$12$	$6$	$1.869$	\(\Q(\zeta_{21})\)	$D_{21}$	\(\Q(\sqrt{-535}) \)	None		$4$	$0$	\(1\)	\(0\)	\(6\)	\(-1\)	$1$		\(q+(\zeta_{42}^{3}-\zeta_{42}^{4})q^{2}+(\zeta_{42}^{6}-\zeta_{42}^{7}+\cdots)q^{4}+\cdots\)