Newform search results

Results (3 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2699.1.b.a	$2699$	$1$	2699.b	2699.b	$2$	$1$	$1$	$1.347$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2699}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(2\)	\(0\)	$1$		\(q-q^{3}+q^{4}+2q^{5}-q^{12}-2q^{15}+\cdots\)
2699.1.b.b	$2699$	$1$	2699.b	2699.b	$2$	$2$	$2$	$1.347$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2699}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
2699.1.b.c	$2699$	$1$	2699.b	2699.b	$2$	$4$	$4$	$1.347$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-2699}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-2\)	\(0\)	$1$		\(q+\beta _{1}q^{3}+q^{4}+(-1-\beta _{3})q^{5}+(1+\beta _{2}+\cdots)q^{9}+\cdots\)