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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1251.1.c.a	$1251$	$1$	1251.c	139.b	$2$	$1$	$1$	$0.624$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-139}) \)	\(\Q(\sqrt{417}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q+q^{4}+2q^{7}-2q^{13}+q^{16}-q^{25}+\cdots\)
3336.1.k.a	$3336$	$1$	3336.k	3336.k	$2$	$1$	$1$	$1.665$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-834}) \)	\(\Q(\sqrt{417}) \)	✓	$4$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
3336.1.k.b	$3336$	$1$	3336.k	3336.k	$2$	$1$	$1$	$1.665$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-834}) \)	\(\Q(\sqrt{417}) \)	✓	$4$	$0$	\(1\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
3753.1.c.a	$3753$	$1$	3753.c	139.b	$2$	$2$	$2$	$1.873$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{417}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$2$		\(q+(\zeta_{6}+\zeta_{6}^{2})q^{2}+(-1-\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{4}+\cdots\)