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Results (4 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2807.1.d.a	$2807$	$1$	2807.d	2807.d	$2$	$1$	$1$	$1.401$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-2807}) \)	\(\Q(\sqrt{401}) \)	✓	✓			2807.1.d.a	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-2q^{2}+3q^{4}-q^{7}-4q^{8}-q^{9}+2q^{11}+\cdots\)
2807.1.d.c	$2807$	$1$	2807.d	2807.d	$2$	$6$	$6$	$1.401$	\(\Q(\zeta_{26})^+\)	$D_{13}$	\(\Q(\sqrt{-2807}) \)	None	✓	✓			2807.1.d.c	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(6\)	$1$		\(q-\beta _{5}q^{2}-\beta _{3}q^{3}+(1-\beta _{3})q^{4}+(\beta _{2}+\cdots)q^{6}+\cdots\)
2807.1.d.d	$2807$	$1$	2807.d	2807.d	$2$	$6$	$6$	$1.401$	\(\Q(\zeta_{26})^+\)	$D_{13}$	\(\Q(\sqrt{-2807}) \)	None	✓	✓			2807.1.d.c	$2$	$0$	\(-1\)	\(1\)	\(0\)	\(6\)	$1$		\(q-\beta _{5}q^{2}+\beta _{3}q^{3}+(1-\beta _{3})q^{4}+(-\beta _{2}+\cdots)q^{6}+\cdots\)
2807.1.d.e	$2807$	$1$	2807.d	2807.d	$2$	$12$	$12$	$1.401$	\(\Q(\zeta_{52})^+\)	$D_{26}$	\(\Q(\sqrt{-2807}) \)	None	✓	✓	✓		2807.1.d.e	$4$	$0$	\(2\)	\(0\)	\(0\)	\(-12\)	$1$		\(q+\beta _{6}q^{2}-\beta _{1}q^{3}+(\beta _{2}-\beta _{4}+\beta _{6}-\beta _{8}+\cdots)q^{4}+\cdots\)