Newform search results

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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3279.1.d.a	$3279$	$1$	3279.d	3279.d	$2$	$1$	$1$	$1.636$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-3279}) \)	\(\Q(\sqrt{1093}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q-q^{3}-q^{4}-2q^{7}+q^{9}+q^{12}-2q^{13}+\cdots\)
3279.1.d.c	$3279$	$1$	3279.d	3279.d	$2$	$6$	$6$	$1.636$	\(\Q(\zeta_{26})^+\)	$D_{13}$	\(\Q(\sqrt{-3279}) \)	None	✓	$2$	$0$	\(-1\)	\(6\)	\(-1\)	\(-1\)	$1$		\(q-\beta _{3}q^{2}+q^{3}+(\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots\)
3279.1.d.d	$3279$	$1$	3279.d	3279.d	$2$	$6$	$6$	$1.636$	\(\Q(\zeta_{26})^+\)	$D_{13}$	\(\Q(\sqrt{-3279}) \)	None	✓	$2$	$0$	\(1\)	\(6\)	\(1\)	\(-1\)	$1$		\(q+\beta _{3}q^{2}+q^{3}+(\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots\)
3279.1.d.e	$3279$	$1$	3279.d	3279.d	$2$	$12$	$12$	$1.636$	\(\Q(\zeta_{52})^+\)	$D_{26}$	\(\Q(\sqrt{-3279}) \)	None	✓	$4$	$0$	\(0\)	\(-12\)	\(0\)	\(2\)	$1$		\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{11}q^{5}+\cdots\)