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Results (17 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2491.1.c.a	$2491$	$1$	2491.c	2491.c	$2$	$1$	$1$	$1.243$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2491}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-2\)	\(-1\)		$1$		\(q+q^{4}-2q^{5}-q^{7}+q^{9}+q^{16}-q^{17}+\cdots\)
2491.1.c.b	$2491$	$1$	2491.c	2491.c	$2$	$1$	$1$	$1.243$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-47}) \), \(\Q(\sqrt{-2491}) \)	\(\Q(\sqrt{53}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$1$		\(q+q^{4}-2q^{7}+q^{9}+q^{16}+2q^{17}+\cdots\)
2491.1.c.c	$2491$	$1$	2491.c	2491.c	$2$	$1$	$1$	$1.243$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2491}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(2\)	\(-1\)		$1$		\(q+q^{4}+2q^{5}-q^{7}+q^{9}+q^{16}-q^{17}+\cdots\)
2491.1.c.d	$2491$	$1$	2491.c	2491.c	$2$	$2$	$2$	$1.243$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-2491}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$1$		\(q+q^{4}+q^{7}+q^{9}+q^{16}-q^{17}-\beta q^{19}+\cdots\)
2491.1.c.e	$2491$	$1$	2491.c	2491.c	$2$	$4$	$4$	$1.243$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$1$		\(q+(\zeta_{10}+\zeta_{10}^{4})q^{2}+(\zeta_{10}^{2}+\zeta_{10}^{3}+\cdots)q^{3}+\cdots\)
2491.1.i.a	$2491$	$1$	2491.i	2491.i	$26$	$12$	$1$	$1.243$	\(\Q(\zeta_{26})\)	$D_{13}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(-2\)	\(-2\)	\(0\)	\(11\)		$1$		\(q+(-\zeta_{26}-\zeta_{26}^{3})q^{2}+(\zeta_{26}^{4}+\zeta_{26}^{12}+\cdots)q^{3}+\cdots\)
2491.1.i.b	$2491$	$1$	2491.i	2491.i	$26$	$48$	$4$	$1.243$	\(\Q(\zeta_{65})\)	$D_{65}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(2\)	\(2\)	\(0\)	\(-11\)		$1$		\(q+(-\zeta_{130}^{7}+\zeta_{130}^{8})q^{2}+(\zeta_{130}^{6}+\zeta_{130}^{54}+\cdots)q^{3}+\cdots\)
2491.1.j.a	$2491$	$1$	2491.j	2491.j	$26$	$12$	$1$	$1.243$	\(\Q(\zeta_{26})\)	$D_{26}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-11\)		$1$		\(q+(\zeta_{26}^{4}-\zeta_{26}^{12})q^{2}+(\zeta_{26}^{3}-\zeta_{26}^{9}+\cdots)q^{3}+\cdots\)
2491.1.j.b	$2491$	$1$	2491.j	2491.j	$26$	$48$	$4$	$1.243$	\(\Q(\zeta_{65})\)	$D_{130}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(11\)		$1$		\(q+(-\zeta_{130}^{7}-\zeta_{130}^{8})q^{2}+(\zeta_{130}^{6}-\zeta_{130}^{54}+\cdots)q^{3}+\cdots\)
2491.2.a.a	$2491$	$2$	2491.a	1.a	$1$	$43$	$43$	$19.891$		$_{}$	None	None	✓	$1$	$1$	\(-12\)	\(-9\)	\(-19\)	\(-11\)	$+$		$\mathrm{SU}(2)$
2491.2.a.b	$2491$	$2$	2491.a	1.a	$1$	$45$	$45$	$19.891$		$_{}$	None	None	✓	$1$	$1$	\(-8\)	\(1\)	\(-21\)	\(-3\)	$+$		$\mathrm{SU}(2)$
2491.2.a.c	$2491$	$2$	2491.a	1.a	$1$	$54$	$54$	$19.891$		$_{}$	None	None	✓	$1$	$0$	\(11\)	\(-1\)	\(25\)	\(-3\)	$-$		$\mathrm{SU}(2)$
2491.2.a.d	$2491$	$2$	2491.a	1.a	$1$	$57$	$57$	$19.891$		$_{}$	None	None	✓	$1$	$0$	\(10\)	\(5\)	\(21\)	\(13\)	$-$		$\mathrm{SU}(2)$
2491.4.a.a	$2491$	$4$	2491.a	1.a	$1$	$142$	$142$	$146.974$		$_{}$	None	None	✓	$1$	$1$	\(-20\)	\(-22\)	\(-105\)	\(-122\)	$-$		$\mathrm{SU}(2)$
2491.4.a.b	$2491$	$4$	2491.a	1.a	$1$	$145$	$145$	$146.974$		$_{}$	None	None	✓	$1$	$1$	\(-22\)	\(-4\)	\(-125\)	\(-10\)	$-$		$\mathrm{SU}(2)$
2491.4.a.c	$2491$	$4$	2491.a	1.a	$1$	$154$	$154$	$146.974$		$_{}$	None	None	✓	$1$	$0$	\(16\)	\(-10\)	\(105\)	\(-10\)	$+$		$\mathrm{SU}(2)$
2491.4.a.d	$2491$	$4$	2491.a	1.a	$1$	$157$	$157$	$146.974$		$_{}$	None	None	✓	$1$	$0$	\(30\)	\(32\)	\(125\)	\(102\)	$+$		$\mathrm{SU}(2)$