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Results (8 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1708.1.b.a	$1708$	$1$	1708.b	427.b	$2$	$1$	$1$	$0.852$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-427}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-q^{7}+q^{9}+q^{17}+q^{25}+q^{31}+q^{49}+\cdots\)
1708.1.b.b	$1708$	$1$	1708.b	427.b	$2$	$1$	$1$	$0.852$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-427}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{7}+q^{9}-q^{17}+q^{25}-q^{31}+q^{49}+\cdots\)
3843.1.b.a	$3843$	$1$	3843.b	427.b	$2$	$1$	$1$	$1.918$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-427}) \)	\(\Q(\sqrt{1281}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{4}-q^{7}+q^{16}+q^{25}-q^{28}+2q^{31}+\cdots\)
3843.1.b.b	$3843$	$1$	3843.b	427.b	$2$	$1$	$1$	$1.918$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-427}) \)	\(\Q(\sqrt{1281}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{4}+q^{7}+q^{16}+q^{25}+q^{28}-2q^{31}+\cdots\)
427.3.b.a	$427$	$3$	427.b	427.b	$2$	$1$	$1$	$11.635$	\(\Q\)	$_{}$	\(\Q(\sqrt{-427}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-7\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{4}-7q^{7}+9q^{9}+2^{4}q^{16}+3^{3}q^{17}+\cdots\)
427.3.b.b	$427$	$3$	427.b	427.b	$2$	$1$	$1$	$11.635$	\(\Q\)	$_{}$	\(\Q(\sqrt{-427}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(7\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{4}+7q^{7}+9q^{9}+2^{4}q^{16}-3^{3}q^{17}+\cdots\)
1708.3.b.a	$1708$	$3$	1708.b	427.b	$2$	$2$	$2$	$46.540$	\(\Q(\sqrt{1281}) \)	$_{}$	\(\Q(\sqrt{-427}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-14\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-7q^{7}+9q^{9}+(-13-\beta )q^{17}+5^{2}q^{25}+\cdots\)
1708.3.b.b	$1708$	$3$	1708.b	427.b	$2$	$2$	$2$	$46.540$	\(\Q(\sqrt{1281}) \)	$_{}$	\(\Q(\sqrt{-427}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(14\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+7q^{7}+9q^{9}+(14-\beta )q^{17}+5^{2}q^{25}+\cdots\)