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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2051.1.c.a	$2051$	$1$	2051.c	2051.c	$2$	$1$	$1$	$1.024$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2051}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(1\)	$1$		\(q-q^{3}+q^{4}-q^{5}+q^{7}-q^{12}-q^{13}+\cdots\)
2051.1.c.b	$2051$	$1$	2051.c	2051.c	$2$	$1$	$1$	$1.024$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2051}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(-1\)	$1$		\(q+q^{3}+q^{4}+q^{5}-q^{7}+q^{12}+q^{13}+\cdots\)
2051.1.c.c	$2051$	$1$	2051.c	2051.c	$2$	$3$	$3$	$1.024$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-2051}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)	$1$		\(q+\beta _{1}q^{3}+q^{4}+(-\beta _{1}+\beta _{2})q^{5}-q^{7}+\cdots\)
2051.1.c.d	$2051$	$1$	2051.c	2051.c	$2$	$3$	$3$	$1.024$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-2051}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(3\)	$1$		\(q-\beta _{1}q^{3}+q^{4}+(\beta _{1}-\beta _{2})q^{5}+q^{7}+\cdots\)