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Results (6 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
499.1.b.a	$499$	$1$	499.b	499.b	$2$	$1$	$1$	$0.249$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-499}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}-q^{5}+q^{9}+q^{16}-q^{20}-q^{29}+\cdots\)
1996.1.b.a	$1996$	$1$	1996.b	499.b	$2$	$3$	$3$	$0.996$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-499}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{5}+q^{9}+(1+\beta _{2})q^{25}+(\beta _{1}-\beta _{2})q^{29}+\cdots\)
2495.1.d.a	$2495$	$1$	2495.d	2495.d	$2$	$1$	$1$	$1.245$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-499}) \), \(\Q(\sqrt{-2495}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{4}+q^{5}-q^{9}+q^{16}-q^{20}+q^{25}+\cdots\)
2495.1.d.b	$2495$	$1$	2495.d	2495.d	$2$	$2$	$2$	$1.245$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-499}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{4}+\zeta_{6}^{2}q^{5}-q^{9}+q^{16}-\zeta_{6}^{2}q^{20}+\cdots\)
499.3.b.a	$499$	$3$	499.b	499.b	$2$	$3$	$3$	$13.597$	3.3.13473.1	$_{}$	\(\Q(\sqrt{-499}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{4}+\beta _{2}q^{5}+9q^{9}+2^{4}q^{16}+4\beta _{2}q^{20}+\cdots\)
1996.3.b.a	$1996$	$3$	1996.b	499.b	$2$	$6$	$6$	$54.387$	6.6.\(\cdots\).2	$_{}$	\(\Q(\sqrt{-499}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{3}q^{5}+9q^{9}+(5^{2}+\beta _{1}+\beta _{3}+4\beta _{4}+\cdots)q^{25}+\cdots\)