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Results (18 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2563.1.b.a	$2563$	$1$	2563.b	2563.b	$2$	$1$	$1$	$1.279$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2563}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+q^{4}+q^{9}-q^{11}+q^{16}+q^{17}-q^{23}+\cdots\)
2563.1.b.b	$2563$	$1$	2563.b	2563.b	$2$	$1$	$1$	$1.279$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2563}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+q^{4}+q^{9}+q^{11}+q^{16}-q^{17}-q^{23}+\cdots\)
2563.1.b.c	$2563$	$1$	2563.b	2563.b	$2$	$2$	$2$	$1.279$	\(\Q(\sqrt{-2}) \)	$S_{4}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\beta q^{2}-\beta q^{3}-q^{4}+\beta q^{5}-2q^{6}+\cdots\)
2563.1.b.d	$2563$	$1$	2563.b	2563.b	$2$	$2$	$2$	$1.279$	\(\Q(\sqrt{-2}) \)	$S_{4}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\beta q^{2}+\beta q^{3}-q^{4}-\beta q^{5}+2q^{6}+\cdots\)
2563.1.e.a	$2563$	$1$	2563.e	2563.e	$4$	$4$	$2$	$1.279$	\(\Q(\zeta_{8})\)	$S_{4}$	None	None		$4$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)		$1$		\(q+(-\zeta_{8}-\zeta_{8}^{3})q^{2}+(-1-\zeta_{8}^{2})q^{3}+\cdots\)
2563.1.e.b	$2563$	$1$	2563.e	2563.e	$4$	$4$	$2$	$1.279$	\(\Q(\zeta_{8})\)	$S_{4}$	None	None		$4$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$1$		\(q+q^{4}+(1+\zeta_{8}^{2})q^{5}-\zeta_{8}^{2}q^{9}-\zeta_{8}^{3}q^{11}+\cdots\)
2563.2.a.a	$2563$	$2$	2563.a	1.a	$1$	$1$	$1$	$20.466$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(-2\)	\(1\)	\(-1\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+q^{3}+2q^{4}-q^{5}-2q^{6}+4q^{7}+\cdots\)
2563.2.a.b	$2563$	$2$	2563.a	1.a	$1$	$1$	$1$	$20.466$	\(\Q\)	$_{}$	None	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(-2\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}-q^{4}-2q^{5}+2q^{6}-2q^{7}+\cdots\)
2563.2.a.c	$2563$	$2$	2563.a	1.a	$1$	$1$	$1$	$20.466$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2q^{4}+2q^{7}+q^{9}+q^{11}+\cdots\)
2563.2.a.d	$2563$	$2$	2563.a	1.a	$1$	$1$	$1$	$20.466$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(1\)	\(-1\)	\(-4\)	\(4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}-4q^{5}-q^{6}+4q^{7}+\cdots\)
2563.2.a.e	$2563$	$2$	2563.a	1.a	$1$	$1$	$1$	$20.466$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(1\)	\(2\)	\(4\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}-q^{4}+4q^{5}+2q^{6}+4q^{7}+\cdots\)
2563.2.a.f	$2563$	$2$	2563.a	1.a	$1$	$2$	$2$	$20.466$	\(\Q(\sqrt{17}) \)	$_{}$	None	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-4\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-\beta q^{3}+(2+\beta )q^{4}-2q^{5}+(4+\cdots)q^{6}+\cdots\)
2563.2.a.g	$2563$	$2$	2563.a	1.a	$1$	$2$	$2$	$20.466$	\(\Q(\sqrt{3}) \)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(2\)	\(4\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}-2q^{4}+2q^{5}+(1+\beta )q^{7}+\cdots\)
2563.2.a.h	$2563$	$2$	2563.a	1.a	$1$	$4$	$4$	$20.466$	4.4.14013.1	$_{}$	None	None	✓	$1$	$0$	\(1\)	\(1\)	\(-1\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
2563.2.a.i	$2563$	$2$	2563.a	1.a	$1$	$42$	$42$	$20.466$		$_{}$	None	None	✓	$1$	$1$	\(-12\)	\(-6\)	\(-20\)	\(-31\)	$+$		$\mathrm{SU}(2)$
2563.2.a.j	$2563$	$2$	2563.a	1.a	$1$	$45$	$45$	$20.466$		$_{}$	None	None	✓	$1$	$0$	\(12\)	\(5\)	\(29\)	\(-22\)	$-$		$\mathrm{SU}(2)$
2563.2.a.k	$2563$	$2$	2563.a	1.a	$1$	$46$	$46$	$20.466$		$_{}$	None	None	✓	$1$	$1$	\(-10\)	\(-11\)	\(-31\)	\(13\)	$+$		$\mathrm{SU}(2)$
2563.2.a.l	$2563$	$2$	2563.a	1.a	$1$	$47$	$47$	$20.466$		$_{}$	None	None	✓	$1$	$0$	\(14\)	\(10\)	\(26\)	\(21\)	$-$		$\mathrm{SU}(2)$