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Results (18 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2744.1.g.a	$2744$	$1$	2744.g	8.d	$2$	$6$	$6$	$1.369$	\(\Q(\zeta_{14})\)	$D_{14}$	\(\Q(\sqrt{-7}) \)	None		✓	✓	✓	2744.1.g.a	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{14}^{2}q^{2}+\zeta_{14}^{4}q^{4}+\zeta_{14}^{6}q^{8}+\cdots\)
2744.1.h.a	$2744$	$1$	2744.h	56.h	$2$	$3$	$3$	$1.369$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-14}) \)	None	✓	✓			2744.1.h.a	$2$	$0$	\(3\)	\(-1\)	\(-1\)	\(0\)		$1$		\(q+q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{2}q^{5}-\beta _{1}q^{6}+\cdots\)
2744.1.h.b	$2744$	$1$	2744.h	56.h	$2$	$3$	$3$	$1.369$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-14}) \)	None	✓	✓			2744.1.h.a	$2$	$0$	\(3\)	\(1\)	\(1\)	\(0\)		$1$		\(q+q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{2}q^{5}+\beta _{1}q^{6}+\cdots\)
2744.1.h.c	$2744$	$1$	2744.h	56.h	$2$	$6$	$6$	$1.369$	\(\Q(\zeta_{28})^+\)	$D_{14}$	\(\Q(\sqrt{-14}) \)	None	✓	✓			2744.1.h.c	$4$	$0$	\(-6\)	\(0\)	\(0\)	\(0\)		$1$		\(q-q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{5}q^{5}+\beta _{1}q^{6}+\cdots\)
2744.1.h.d	$2744$	$1$	2744.h	56.h	$2$	$6$	$6$	$1.369$	\(\Q(\zeta_{14})\)	$D_{14}$	\(\Q(\sqrt{-7}) \)	None		✓			2744.1.h.d	$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\zeta_{14}^{4}q^{2}-\zeta_{14}q^{4}+\zeta_{14}^{5}q^{8}-q^{9}+\cdots\)
2744.1.j.a	$2744$	$1$	2744.j	56.j	$6$	$6$	$3$	$1.369$	6.0.64827.1	$D_{7}$	\(\Q(\sqrt{-14}) \)	None		✓			2744.1.h.a	$4$	$0$	\(-3\)	\(-1\)	\(-1\)	\(0\)		$1$		\(q+(-1+\beta _{5})q^{2}+(-\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{3}+\cdots\)
2744.1.j.b	$2744$	$1$	2744.j	56.j	$6$	$6$	$3$	$1.369$	6.0.64827.1	$D_{7}$	\(\Q(\sqrt{-14}) \)	None		✓			2744.1.h.a	$4$	$0$	\(-3\)	\(1\)	\(1\)	\(0\)		$1$		\(q+(-1+\beta _{5})q^{2}+(\beta _{1}-\beta _{2}+\beta _{3}+\beta _{4}+\cdots)q^{3}+\cdots\)
2744.1.j.c	$2744$	$1$	2744.j	56.j	$6$	$12$	$6$	$1.369$	\(\Q(\zeta_{21})\)	$D_{14}$	\(\Q(\sqrt{-7}) \)	None		✓			2744.1.h.d	$8$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{42}^{19}q^{2}-\zeta_{42}^{17}q^{4}+\zeta_{42}^{15}q^{8}+\cdots\)
2744.1.j.d	$2744$	$1$	2744.j	56.j	$6$	$12$	$6$	$1.369$	12.0.\(\cdots\).2	$D_{14}$	\(\Q(\sqrt{-14}) \)	None		✓			2744.1.h.c	$8$	$0$	\(6\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\beta _{6}q^{2}+\beta _{9}q^{3}+(-1+\beta _{6})q^{4}+\beta _{4}q^{5}+\cdots\)
2744.1.k.a	$2744$	$1$	2744.k	56.k	$6$	$12$	$6$	$1.369$	\(\Q(\zeta_{21})\)	$D_{14}$	\(\Q(\sqrt{-7}) \)	None		✓	✓	✓	2744.1.g.a	$8$	$0$	\(1\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\zeta_{42}^{19}q^{2}-\zeta_{42}^{17}q^{4}-\zeta_{42}^{15}q^{8}+\cdots\)
2744.2.a.a	$2744$	$2$	2744.a	1.a	$1$	$6$	$6$	$21.911$	6.6.1229312.1	$_{}$	None	None	✓	✓			2744.2.a.a	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{5}q^{3}+(-\beta _{1}-\beta _{3}+\beta _{5})q^{5}-q^{9}+\cdots\)
2744.2.a.b	$2744$	$2$	2744.a	1.a	$1$	$6$	$6$	$21.911$	6.6.1229312.1	$_{}$	None	None	✓	✓			2744.2.a.b	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{3}+\beta _{5})q^{5}+(1+\cdots)q^{9}+\cdots\)
2744.2.a.c	$2744$	$2$	2744.a	1.a	$1$	$9$	$9$	$21.911$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	$_{}$	None	None	✓	✓	✓		2744.2.a.c	$1$	$1$	\(0\)	\(-6\)	\(5\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(1-\beta _{8})q^{5}+(1-2\beta _{1}+\cdots)q^{9}+\cdots\)
2744.2.a.d	$2744$	$2$	2744.a	1.a	$1$	$9$	$9$	$21.911$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	$_{}$	None	None	✓	✓	✓		2744.2.a.d	$1$	$1$	\(0\)	\(0\)	\(-13\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-1-\beta _{4})q^{5}+(1+\beta _{4}+\beta _{5}+\cdots)q^{9}+\cdots\)
2744.2.a.e	$2744$	$2$	2744.a	1.a	$1$	$9$	$9$	$21.911$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	$_{}$	None	None	✓	✓			2744.2.a.d	$1$	$0$	\(0\)	\(0\)	\(13\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(1+\beta _{4})q^{5}+(1+\beta _{4}+\beta _{5}+\cdots)q^{9}+\cdots\)
2744.2.a.f	$2744$	$2$	2744.a	1.a	$1$	$9$	$9$	$21.911$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	$_{}$	None	None	✓	✓			2744.2.a.c	$1$	$0$	\(0\)	\(6\)	\(-5\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(-1+\beta _{8})q^{5}+(1-2\beta _{1}+\cdots)q^{9}+\cdots\)
2744.2.a.g	$2744$	$2$	2744.a	1.a	$1$	$12$	$12$	$21.911$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None	✓	✓	✓		2744.2.a.g	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(\beta _{4}+\beta _{7})q^{5}+(2+\beta _{2}+\beta _{3}+\cdots)q^{9}+\cdots\)
2744.2.a.h	$2744$	$2$	2744.a	1.a	$1$	$12$	$12$	$21.911$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None	✓	✓	✓		2744.2.a.h	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{10}q^{5}+(2+\beta _{2}+\beta _{3})q^{9}+\cdots\)