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Results (9 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
468.1.e.c	$468$	$1$	468.e	52.b	$2$	$2$	$2$	$0.234$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-39}) \)	\(\Q(\sqrt{39}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-q^{4}+iq^{5}+iq^{8}+2q^{10}+\cdots\)
1248.1.l.a	$1248$	$1$	1248.l	39.d	$2$	$4$	$4$	$0.623$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{39}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$		\(q+\zeta_{8}^{2}q^{3}+(\zeta_{8}-\zeta_{8}^{3})q^{5}+(\zeta_{8}+\zeta_{8}^{3}+\cdots)q^{7}+\cdots\)
1872.1.i.a	$1872$	$1$	1872.i	52.b	$2$	$1$	$1$	$0.934$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-13}) \)	\(\Q(\sqrt{39}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-2q^{7}+q^{13}+2q^{19}+q^{25}+2q^{31}+\cdots\)
1872.1.i.c	$1872$	$1$	1872.i	52.b	$2$	$1$	$1$	$0.934$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-13}) \)	\(\Q(\sqrt{39}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q+2q^{7}+q^{13}-2q^{19}+q^{25}-2q^{31}+\cdots\)
2496.1.l.c	$2496$	$1$	2496.l	39.d	$2$	$4$	$4$	$1.246$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{39}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$		\(q+\zeta_{8}^{2}q^{3}+(-\zeta_{8}+\zeta_{8}^{3})q^{5}+(-\zeta_{8}+\cdots)q^{7}+\cdots\)
3588.1.e.a	$3588$	$1$	3588.e	3588.e	$2$	$1$	$1$	$1.791$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-897}) \)	\(\Q(\sqrt{39}) \)	✓	$4$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
3588.1.e.b	$3588$	$1$	3588.e	3588.e	$2$	$1$	$1$	$1.791$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-897}) \)	\(\Q(\sqrt{39}) \)	✓	$4$	$0$	\(-1\)	\(1\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
3588.1.e.c	$3588$	$1$	3588.e	3588.e	$2$	$1$	$1$	$1.791$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-897}) \)	\(\Q(\sqrt{39}) \)	✓	$4$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
3588.1.e.d	$3588$	$1$	3588.e	3588.e	$2$	$1$	$1$	$1.791$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-897}) \)	\(\Q(\sqrt{39}) \)	✓	$4$	$0$	\(1\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)