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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3503.1.d.a	$3503$	$1$	3503.d	3503.d	$2$	$1$	$1$	$1.748$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-3503}) \)	\(\Q(\sqrt{113}) \)	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-2q^{2}+3q^{4}-2q^{7}-4q^{8}-q^{9}+\cdots\)
3503.1.d.c	$3503$	$1$	3503.d	3503.d	$2$	$6$	$6$	$1.748$	\(\Q(\zeta_{26})^+\)	$D_{13}$	\(\Q(\sqrt{-3503}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-\beta _{3}q^{2}-\beta _{3}q^{3}+(\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots\)
3503.1.d.d	$3503$	$1$	3503.d	3503.d	$2$	$6$	$6$	$1.748$	\(\Q(\zeta_{26})^+\)	$D_{13}$	\(\Q(\sqrt{-3503}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(0\)	\(-1\)	$1$		\(q-\beta _{3}q^{2}+\beta _{3}q^{3}+(\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots\)
3503.1.d.e	$3503$	$1$	3503.d	3503.d	$2$	$12$	$12$	$1.748$	\(\Q(\zeta_{52})^+\)	$D_{26}$	\(\Q(\sqrt{-3503}) \)	None	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(2\)	$1$		\(q+(1-\beta _{2}+\beta _{4}-\beta _{6}+\beta _{8}-\beta _{10})q^{2}+\cdots\)