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Results (24 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
308.1.g.a	$308$	$1$	308.g	308.g	$2$	$1$	$1$	$0.154$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-77}) \)	\(\Q(\sqrt{11}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)	$1$		\(q-q^{2}+q^{4}+q^{7}-q^{8}-q^{9}+q^{11}+\cdots\)
308.1.g.b	$308$	$1$	308.g	308.g	$2$	$1$	$1$	$0.154$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-77}) \)	\(\Q(\sqrt{11}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{2}+q^{4}-q^{7}+q^{8}-q^{9}-q^{11}+\cdots\)
1232.1.m.a	$1232$	$1$	1232.m	308.g	$2$	$2$	$2$	$0.615$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-77}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-\beta q^{3}-q^{7}+q^{9}+q^{11}-\beta q^{13}+\cdots\)
1232.1.m.b	$1232$	$1$	1232.m	308.g	$2$	$2$	$2$	$0.615$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-77}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q-\beta q^{3}+q^{7}+q^{9}-q^{11}+\beta q^{13}+\cdots\)
2156.1.m.a	$2156$	$1$	2156.m	308.m	$6$	$2$	$1$	$1.076$	\(\Q(\sqrt{-3}) \)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-77}) \)	\(\Q(\sqrt{11}) \)		$8$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+q^{8}-\zeta_{6}^{2}q^{9}+\cdots\)
2156.1.m.b	$2156$	$1$	2156.m	308.m	$6$	$2$	$1$	$1.076$	\(\Q(\sqrt{-3}) \)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-77}) \)	\(\Q(\sqrt{11}) \)		$8$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{8}-\zeta_{6}^{2}q^{9}+\cdots\)
2772.1.h.a	$2772$	$1$	2772.h	308.g	$2$	$1$	$1$	$1.383$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-77}) \)	\(\Q(\sqrt{11}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-q^{2}+q^{4}-q^{7}-q^{8}+q^{11}+q^{14}+\cdots\)
2772.1.h.b	$2772$	$1$	2772.h	308.g	$2$	$1$	$1$	$1.383$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-77}) \)	\(\Q(\sqrt{11}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{2}+q^{4}+q^{7}+q^{8}-q^{11}+q^{14}+\cdots\)
2772.1.ci.a	$2772$	$1$	2772.ci	2772.bi	$6$	$2$	$1$	$1.383$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-77}) \)	None		$4$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{6}+\cdots\)
2772.1.ci.b	$2772$	$1$	2772.ci	2772.bi	$6$	$2$	$1$	$1.383$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-77}) \)	None		$4$	$0$	\(-1\)	\(1\)	\(0\)	\(-1\)	$1$		\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots\)
2772.1.ci.c	$2772$	$1$	2772.ci	2772.bi	$6$	$2$	$1$	$1.383$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-77}) \)	None		$4$	$0$	\(1\)	\(-1\)	\(0\)	\(1\)	$1$		\(q-\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots\)
2772.1.ci.d	$2772$	$1$	2772.ci	2772.bi	$6$	$2$	$1$	$1.383$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-77}) \)	None		$4$	$0$	\(1\)	\(1\)	\(0\)	\(1\)	$1$		\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{6}+\cdots\)
2772.1.ci.e	$2772$	$1$	2772.ci	2772.bi	$6$	$4$	$2$	$1.383$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-77}) \)	None		$8$	$0$	\(-2\)	\(0\)	\(0\)	\(2\)	$1$		\(q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{5}q^{3}+\zeta_{12}^{4}q^{4}+\cdots\)
2772.1.ci.f	$2772$	$1$	2772.ci	2772.bi	$6$	$4$	$2$	$1.383$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-77}) \)	None		$8$	$0$	\(2\)	\(0\)	\(0\)	\(-2\)	$1$		\(q+\zeta_{12}^{2}q^{2}+\zeta_{12}^{5}q^{3}+\zeta_{12}^{4}q^{4}+\cdots\)
3388.1.s.c	$3388$	$1$	3388.s	308.s	$10$	$4$	$1$	$1.691$	\(\Q(\zeta_{10})\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-77}) \)	\(\Q(\sqrt{11}) \)		$16$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)	$1$		\(q+\zeta_{10}^{4}q^{2}-\zeta_{10}^{3}q^{4}+\zeta_{10}^{3}q^{7}+\cdots\)
3388.1.s.f	$3388$	$1$	3388.s	308.s	$10$	$4$	$1$	$1.691$	\(\Q(\zeta_{10})\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-77}) \)	\(\Q(\sqrt{11}) \)		$16$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-\zeta_{10}^{4}q^{2}-\zeta_{10}^{3}q^{4}-\zeta_{10}^{3}q^{7}+\cdots\)
924.2.n.e	$924$	$2$	924.n	924.n	$2$	$16$	$16$	$7.378$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	\(\Q(\sqrt{-77}) \)	None		$16$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{8}\cdot 3^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{2}-\beta _{13}q^{3}-2q^{4}+\beta _{4}q^{6}+\cdots\)
308.3.g.a	$308$	$3$	308.g	308.g	$2$	$2$	$2$	$8.392$	\(\Q(\sqrt{14}) \)	$_{}$	\(\Q(\sqrt{-77}) \)	None	✓	$4$	$0$	\(-4\)	\(0\)	\(0\)	\(-14\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{2}+\beta q^{3}+4q^{4}-2\beta q^{6}-7q^{7}+\cdots\)
308.3.g.b	$308$	$3$	308.g	308.g	$2$	$2$	$2$	$8.392$	\(\Q(\sqrt{22}) \)	$_{}$	\(\Q(\sqrt{-77}) \)	None	✓	$4$	$0$	\(-4\)	\(0\)	\(0\)	\(14\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{2}+\beta q^{3}+4q^{4}-2\beta q^{6}+7q^{7}+\cdots\)
308.3.g.e	$308$	$3$	308.g	308.g	$2$	$2$	$2$	$8.392$	\(\Q(\sqrt{22}) \)	$_{}$	\(\Q(\sqrt{-77}) \)	None	✓	$4$	$0$	\(4\)	\(0\)	\(0\)	\(-14\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2q^{2}+\beta q^{3}+4q^{4}+2\beta q^{6}-7q^{7}+\cdots\)
308.3.g.f	$308$	$3$	308.g	308.g	$2$	$2$	$2$	$8.392$	\(\Q(\sqrt{14}) \)	$_{}$	\(\Q(\sqrt{-77}) \)	None	✓	$4$	$0$	\(4\)	\(0\)	\(0\)	\(14\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2q^{2}+\beta q^{3}+4q^{4}+2\beta q^{6}+7q^{7}+\cdots\)
2464.2.e.c	$2464$	$2$	2464.e	77.b	$2$	$16$	$16$	$19.675$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	$_{}$	\(\Q(\sqrt{-77}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{28}$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{4}q^{3}-\beta _{5}q^{7}+(-3+\beta _{1})q^{9}-\beta _{6}q^{11}+\cdots\)
1232.3.m.a	$1232$	$3$	1232.m	308.g	$2$	$4$	$4$	$33.570$	\(\Q(\sqrt{7}, \sqrt{11})\)	$_{}$	\(\Q(\sqrt{-77}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-28\)	$2^{6}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{1}q^{3}-7q^{7}+(9+\beta _{2})q^{9}-11q^{11}+\cdots\)
1232.3.m.b	$1232$	$3$	1232.m	308.g	$2$	$4$	$4$	$33.570$	\(\Q(\sqrt{7}, \sqrt{11})\)	$_{}$	\(\Q(\sqrt{-77}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(28\)	$2^{6}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{1}q^{3}+7q^{7}+(9+\beta _{2})q^{9}+11q^{11}+\cdots\)