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Results (10 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2159.1.d.a	$2159$	$1$	2159.d	2159.d	$2$	$1$	$1$	$1.077$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2159}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(2\)	$1$		\(q-q^{2}-q^{3}-q^{5}+q^{6}+2q^{7}+q^{8}+\cdots\)
2159.1.d.b	$2159$	$1$	2159.d	2159.d	$2$	$1$	$1$	$1.077$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2159}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(1\)	\(-2\)	$1$		\(q-q^{2}+q^{3}+q^{5}-q^{6}-2q^{7}+q^{8}+\cdots\)
2159.1.d.c	$2159$	$1$	2159.d	2159.d	$2$	$1$	$1$	$1.077$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-127}) \), \(\Q(\sqrt{-2159}) \)	\(\Q(\sqrt{17}) \)	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+2q^{2}+3q^{4}+4q^{8}-q^{9}-2q^{13}+\cdots\)
2159.1.d.d	$2159$	$1$	2159.d	2159.d	$2$	$2$	$2$	$1.077$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-2159}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}-\beta q^{3}-\beta q^{5}+\beta q^{6}+q^{8}+2q^{9}+\cdots\)
2159.1.d.e	$2159$	$1$	2159.d	2159.d	$2$	$2$	$2$	$1.077$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2159}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(4\)	\(-1\)	$1$		\(q+(-1+\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
2159.1.d.f	$2159$	$1$	2159.d	2159.d	$2$	$2$	$2$	$1.077$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2159}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(-4\)	\(1\)	$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
2159.1.d.h	$2159$	$1$	2159.d	2159.d	$2$	$4$	$4$	$1.077$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-2159}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\beta _{2}q^{2}-\beta _{1}q^{3}-\beta _{2}q^{4}-\beta _{3}q^{6}+\cdots\)
2159.1.d.i	$2159$	$1$	2159.d	2159.d	$2$	$4$	$4$	$1.077$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-2159}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(4\)	\(2\)	$1$		\(q+\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
2159.1.d.j	$2159$	$1$	2159.d	2159.d	$2$	$4$	$4$	$1.077$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-2159}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(-4\)	\(-2\)	$1$		\(q+\beta _{1}q^{2}+\beta _{1}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
2159.1.d.k	$2159$	$1$	2159.d	2159.d	$2$	$8$	$8$	$1.077$	\(\Q(\zeta_{60})^+\)	$D_{30}$	\(\Q(\sqrt{-2159}) \)	None	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(1-\beta _{3}+\beta _{4})q^{2}-\beta _{1}q^{3}+(1-\beta _{2}+\cdots)q^{4}+\cdots\)