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Results (15 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
271.1.b.a	$271$	$1$	271.b	271.b	$2$	$5$	$5$	$0.135$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-271}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q+\beta _{4}q^{2}+(1-\beta _{3})q^{4}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
1355.1.c.b	$1355$	$1$	1355.c	1355.c	$2$	$1$	$1$	$0.676$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-271}) \), \(\Q(\sqrt{-1355}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}-q^{5}-q^{9}+2q^{11}+q^{16}-q^{20}+\cdots\)
1355.1.c.e	$1355$	$1$	1355.c	1355.c	$2$	$10$	$10$	$0.676$	\(\Q(\zeta_{22})\)	$D_{22}$	\(\Q(\sqrt{-271}) \)	None		$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+(-\zeta_{22}-\zeta_{22}^{10})q^{2}+(-1+\zeta_{22}^{2}+\cdots)q^{4}+\cdots\)
1897.1.o.a	$1897$	$1$	1897.o	1897.o	$6$	$2$	$1$	$0.947$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-271}) \)	None		$4$	$0$	\(1\)	\(0\)	\(1\)	\(-1\)	$1$		\(q+\zeta_{6}q^{2}+\zeta_{6}q^{5}-\zeta_{6}q^{7}+q^{8}-\zeta_{6}q^{9}+\cdots\)
1897.1.o.b	$1897$	$1$	1897.o	1897.o	$6$	$20$	$10$	$0.947$	\(\Q(\zeta_{33})\)	$D_{33}$	\(\Q(\sqrt{-271}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(-1\)	\(1\)	$1$		\(q+(-\zeta_{66}^{9}-\zeta_{66}^{13})q^{2}+(\zeta_{66}^{18}+\zeta_{66}^{22}+\cdots)q^{4}+\cdots\)
2168.1.g.b	$2168$	$1$	2168.g	2168.g	$2$	$1$	$1$	$1.082$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-271}) \), \(\Q(\sqrt{-542}) \)	\(\Q(\sqrt{2}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(2\)	$1$		\(q+q^{2}+q^{4}+2q^{7}+q^{8}-q^{9}+2q^{14}+\cdots\)
2168.1.g.g	$2168$	$1$	2168.g	2168.g	$2$	$10$	$10$	$1.082$	\(\Q(\zeta_{22})\)	$D_{22}$	\(\Q(\sqrt{-271}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(0\)	\(-2\)	$1$		\(q+\zeta_{22}^{6}q^{2}-\zeta_{22}q^{4}+(-\zeta_{22}^{2}-\zeta_{22}^{9}+\cdots)q^{5}+\cdots\)
2439.1.d.a	$2439$	$1$	2439.d	271.b	$2$	$1$	$1$	$1.217$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-271}) \)	\(\Q(\sqrt{813}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q-q^{4}+2q^{7}+q^{16}-q^{25}-2q^{28}+\cdots\)
2439.1.d.b	$2439$	$1$	2439.d	271.b	$2$	$5$	$5$	$1.217$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-271}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(1\)	\(-1\)	$1$		\(q+(1-\beta _{1}+\beta _{2}-\beta _{3}+\beta _{4})q^{2}+(1-\beta _{1}+\cdots)q^{4}+\cdots\)
2439.1.d.c	$2439$	$1$	2439.d	271.b	$2$	$10$	$10$	$1.217$	\(\Q(\zeta_{44})^+\)	$D_{22}$	\(\Q(\sqrt{-271}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{7}q^{5}-\beta _{6}q^{7}+\cdots\)
2981.1.t.a	$2981$	$1$	2981.t	2981.t	$10$	$4$	$1$	$1.488$	\(\Q(\zeta_{10})\)	$D_{5}$	\(\Q(\sqrt{-271}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(3\)	\(-2\)	$1$		\(q+(\zeta_{10}^{2}+\zeta_{10}^{4})q^{2}+(-\zeta_{10}-\zeta_{10}^{3}+\cdots)q^{4}+\cdots\)
2981.1.t.b	$2981$	$1$	2981.t	2981.t	$10$	$40$	$10$	$1.488$	\(\Q(\zeta_{55})\)	$D_{55}$	\(\Q(\sqrt{-271}) \)	None		$4$	$0$	\(2\)	\(0\)	\(-3\)	\(2\)	$1$		\(q+(\zeta_{110}^{4}-\zeta_{110}^{7})q^{2}+(\zeta_{110}^{8}-\zeta_{110}^{11}+\cdots)q^{4}+\cdots\)
271.3.b.a	$271$	$3$	271.b	271.b	$2$	$11$	$11$	$7.384$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	$_{}$	\(\Q(\sqrt{-271}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{2}+(4+\beta _{5}-\beta _{6})q^{4}+(-\beta _{3}+\cdots)q^{5}+\cdots\)
2439.2.b.b	$2439$	$2$	2439.b	813.b	$2$	$44$	$44$	$19.476$		$_{}$	\(\Q(\sqrt{-271}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$\mathrm{U}(1)[D_{2}]$
271.5.b.a	$271$	$5$	271.b	271.b	$2$	$11$	$11$	$28.013$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	$_{}$	\(\Q(\sqrt{-271}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$3^{5}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{2}+(2^{4}+2\beta _{6}-\beta _{8})q^{4}+(7\beta _{3}+\cdots)q^{5}+\cdots\)