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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3071.1.d.a	$3071$	$1$	3071.d	3071.d	$2$	$1$	$1$	$1.533$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-83}) \), \(\Q(\sqrt{-3071}) \)	\(\Q(\sqrt{37}) \)	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(2\)	$1$		\(q+2q^{3}-q^{4}+2q^{7}+3q^{9}-2q^{11}+\cdots\)
3071.1.d.c	$3071$	$1$	3071.d	3071.d	$2$	$9$	$9$	$1.533$	\(\Q(\zeta_{38})^+\)	$D_{19}$	\(\Q(\sqrt{-3071}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q+(-1+\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{5}+\cdots)q^{2}+\cdots\)
3071.1.d.d	$3071$	$1$	3071.d	3071.d	$2$	$9$	$9$	$1.533$	\(\Q(\zeta_{38})^+\)	$D_{19}$	\(\Q(\sqrt{-3071}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(1\)	\(-1\)	$1$		\(q+(1-\beta _{1}+\beta _{2}-\beta _{3}+\beta _{4}-\beta _{5}+\beta _{6}+\cdots)q^{2}+\cdots\)
3071.1.d.e	$3071$	$1$	3071.d	3071.d	$2$	$18$	$18$	$1.533$	\(\Q(\zeta_{76})^+\)	$D_{38}$	\(\Q(\sqrt{-3071}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(-2\)	$1$		\(q+\beta _{13}q^{2}-\beta _{10}q^{3}+(1-\beta _{12})q^{4}+\cdots\)