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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1919.1.d.a	$1919$	$1$	1919.d	1919.d	$2$	$1$	$1$	$0.958$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-1919}) \)	\(\Q(\sqrt{101}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-q^{4}-2q^{5}-q^{9}+q^{16}+2q^{17}+\cdots\)
1919.1.d.b	$1919$	$1$	1919.d	1919.d	$2$	$5$	$5$	$0.958$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-1919}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+\beta _{4}q^{2}-\beta _{3}q^{3}+(1-\beta _{3})q^{4}-\beta _{1}q^{5}+\cdots\)
1919.1.d.c	$1919$	$1$	1919.d	1919.d	$2$	$5$	$5$	$0.958$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-1919}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(-1\)	\(0\)	$1$		\(q+(1-\beta _{1}+\beta _{2}-\beta _{3}+\beta _{4})q^{2}+\beta _{1}q^{3}+\cdots\)
1919.1.d.d	$1919$	$1$	1919.d	1919.d	$2$	$10$	$10$	$0.958$	\(\Q(\zeta_{44})^+\)	$D_{22}$	\(\Q(\sqrt{-1919}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\beta _{1}q^{2}-\beta _{9}q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{2}+\cdots)q^{5}+\cdots\)