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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3416.1.p.b	$3416$	$1$	3416.p	3416.p	$2$	$5$	$5$	$1.705$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-854}) \)	None	✓	$2$	$0$	\(-5\)	\(-1\)	\(-1\)	\(-5\)	$1$		\(q-q^{2}+\beta _{4}q^{3}+q^{4}+\beta _{2}q^{5}-\beta _{4}q^{6}+\cdots\)
3416.1.p.c	$3416$	$1$	3416.p	3416.p	$2$	$5$	$5$	$1.705$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-854}) \)	None	✓	$2$	$0$	\(-5\)	\(1\)	\(1\)	\(5\)	$1$		\(q-q^{2}+(1-\beta _{1}+\beta _{2}-\beta _{3}+\beta _{4})q^{3}+\cdots\)
3416.1.p.d	$3416$	$1$	3416.p	3416.p	$2$	$5$	$5$	$1.705$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-854}) \)	None	✓	$2$	$0$	\(5\)	\(-1\)	\(-1\)	\(5\)	$1$		\(q+q^{2}+\beta _{4}q^{3}+q^{4}+\beta _{2}q^{5}+\beta _{4}q^{6}+\cdots\)
3416.1.p.e	$3416$	$1$	3416.p	3416.p	$2$	$5$	$5$	$1.705$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-854}) \)	None	✓	$2$	$0$	\(5\)	\(1\)	\(1\)	\(-5\)	$1$		\(q+q^{2}+(1-\beta _{1}+\beta _{2}-\beta _{3}+\beta _{4})q^{3}+\cdots\)