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Results (10 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1068.1.b.a	$1068$	$1$	1068.b	267.b	$2$	$1$	$1$	$0.533$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-267}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{9}+q^{23}+q^{25}-q^{27}+q^{29}+\cdots\)
1068.1.b.b	$1068$	$1$	1068.b	267.b	$2$	$1$	$1$	$0.533$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-267}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{9}-q^{23}+q^{25}+q^{27}-q^{29}+\cdots\)
2403.1.b.a	$2403$	$1$	2403.b	267.b	$2$	$1$	$1$	$1.199$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-267}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}+q^{16}-q^{23}+q^{25}+2q^{29}+\cdots\)
2403.1.b.b	$2403$	$1$	2403.b	267.b	$2$	$1$	$1$	$1.199$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-267}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}+q^{16}+q^{23}+q^{25}-2q^{29}+\cdots\)
801.2.d.a	$801$	$2$	801.d	89.b	$2$	$2$	$2$	$6.396$	\(\Q(\sqrt{-89}) \)	$_{}$	\(\Q(\sqrt{-267}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{4}+4q^{16}-\beta q^{23}-5q^{25}-\beta q^{29}+\cdots\)
267.3.b.a	$267$	$3$	267.b	267.b	$2$	$1$	$1$	$7.275$	\(\Q\)	$_{}$	\(\Q(\sqrt{-267}) \)	None	✓	$2$	$0$	\(0\)	\(-3\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-3q^{3}+4q^{4}+9q^{9}-12q^{12}+2^{4}q^{16}+\cdots\)
267.3.b.b	$267$	$3$	267.b	267.b	$2$	$1$	$1$	$7.275$	\(\Q\)	$_{}$	\(\Q(\sqrt{-267}) \)	None	✓	$2$	$0$	\(0\)	\(3\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+3q^{3}+4q^{4}+9q^{9}+12q^{12}+2^{4}q^{16}+\cdots\)
3204.2.g.a	$3204$	$2$	3204.g	89.b	$2$	$4$	$4$	$25.584$	\(\Q(i, \sqrt{89})\)	$_{}$	\(\Q(\sqrt{-267}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$3^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{1}q^{23}-5q^{25}+(-\beta _{1}+2\beta _{2})q^{29}+\cdots\)
1068.3.b.a	$1068$	$3$	1068.b	267.b	$2$	$2$	$2$	$29.101$	\(\Q(\sqrt{89}) \)	$_{}$	\(\Q(\sqrt{-267}) \)	None	✓	$2$	$0$	\(0\)	\(-6\)	\(0\)	\(0\)	$3$	$\mathrm{U}(1)[D_{2}]$	\(q-3q^{3}+9q^{9}+(-21+\beta )q^{23}+5^{2}q^{25}+\cdots\)
1068.3.b.b	$1068$	$3$	1068.b	267.b	$2$	$2$	$2$	$29.101$	\(\Q(\sqrt{89}) \)	$_{}$	\(\Q(\sqrt{-267}) \)	None	✓	$2$	$0$	\(0\)	\(6\)	\(0\)	\(0\)	$3$	$\mathrm{U}(1)[D_{2}]$	\(q+3q^{3}+9q^{9}+(22+\beta )q^{23}+5^{2}q^{25}+\cdots\)