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Results (19 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
751.1.b.a	$751$	$1$	751.b	751.b	$2$	$1$	$1$	$0.375$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-751}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(2\)	\(0\)		$1$		\(q-q^{2}+2q^{5}+q^{8}+q^{9}-2q^{10}-q^{13}+\cdots\)
751.1.b.b	$751$	$1$	751.b	751.b	$2$	$2$	$2$	$0.375$	\(\Q(\sqrt{-2}) \)	$S_{4}$	None	None		$2$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)		$1$		\(q-q^{2}-\beta q^{3}+\beta q^{6}+\beta q^{7}+q^{8}-q^{9}+\cdots\)
751.1.b.c	$751$	$1$	751.b	751.b	$2$	$2$	$2$	$0.375$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-751}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)		$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}+(-1+\beta )q^{5}+\cdots\)
751.1.b.d	$751$	$1$	751.b	751.b	$2$	$4$	$4$	$0.375$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-751}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(-2\)	\(0\)		$1$		\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{3})q^{5}+\cdots\)
751.2.a.a	$751$	$2$	751.a	1.a	$1$	$24$	$24$	$5.997$		$_{}$	None	None	✓	$1$	$1$	\(-5\)	\(-8\)	\(-16\)	\(-7\)	$+$		$\mathrm{SU}(2)$
751.2.a.b	$751$	$2$	751.a	1.a	$1$	$38$	$38$	$5.997$		$_{}$	None	None	✓	$1$	$0$	\(4\)	\(6\)	\(18\)	\(1\)	$-$		$\mathrm{SU}(2)$
751.2.c.a	$751$	$2$	751.c	751.c	$3$	$124$	$62$	$5.997$		$_{}$	None	None		$2$	$0$	\(1\)	\(2\)	\(1\)	\(0\)			$\mathrm{SU}(2)[C_{3}]$
751.2.d.a	$751$	$2$	751.d	751.d	$5$	$4$	$1$	$5.997$	\(\Q(\zeta_{10})\)	$_{}$	None	None		$2$	$0$	\(-3\)	\(-4\)	\(4\)	\(7\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+(-1+\zeta_{10}^{3})q^{2}+(-2+\zeta_{10}-\zeta_{10}^{2}+\cdots)q^{3}+\cdots\)
751.2.d.b	$751$	$2$	751.d	751.d	$5$	$4$	$1$	$5.997$	\(\Q(\zeta_{10})\)	$_{}$	None	None		$2$	$0$	\(-3\)	\(-2\)	\(-1\)	\(-7\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+(-1+\zeta_{10}^{3})q^{2}+(-2+2\zeta_{10}-2\zeta_{10}^{2}+\cdots)q^{3}+\cdots\)
751.2.d.c	$751$	$2$	751.d	751.d	$5$	$236$	$59$	$5.997$		$_{}$	None	None		$2$	$0$	\(0\)	\(2\)	\(-4\)	\(9\)			$\mathrm{SU}(2)[C_{5}]$
751.2.g.a	$751$	$2$	751.g	751.g	$15$	$496$	$62$	$5.997$		$_{}$	None	None		$2$	$0$	\(-6\)	\(-7\)	\(-11\)	\(-10\)			$\mathrm{SU}(2)[C_{15}]$
751.2.h.a	$751$	$2$	751.h	751.h	$25$	$1220$	$61$	$5.997$		$_{}$	None	None		$2$	$0$	\(-40\)	\(-15\)	\(-20\)	\(-20\)			$\mathrm{SU}(2)[C_{25}]$
751.2.k.a	$751$	$2$	751.k	751.k	$75$	$2480$	$62$	$5.997$		$_{}$	None	None		$2$	$0$	\(-20\)	\(-45\)	\(-40\)	\(-40\)			$\mathrm{SU}(2)[C_{75}]$
751.2.l.a	$751$	$2$	751.l	751.l	$125$	$6100$	$61$	$5.997$		$_{}$	None	None		$2$	$0$	\(-75\)	\(-100\)	\(-100\)	\(-100\)			$\mathrm{SU}(2)[C_{125}]$
751.2.o.a	$751$	$2$	751.o	751.o	$375$	$12400$	$62$	$5.997$		$_{}$	None	None		$2$	$0$	\(-225\)	\(-200\)	\(-200\)	\(-200\)			$\mathrm{SU}(2)[C_{375}]$
751.4.a.a	$751$	$4$	751.a	1.a	$1$	$86$	$86$	$44.310$		$_{}$	None	None	✓	$1$	$1$	\(-12\)	\(-26\)	\(-105\)	\(-54\)	$-$		$\mathrm{SU}(2)$
751.4.a.b	$751$	$4$	751.a	1.a	$1$	$101$	$101$	$44.310$		$_{}$	None	None	✓	$1$	$0$	\(12\)	\(28\)	\(95\)	\(58\)	$+$		$\mathrm{SU}(2)$
751.6.a.a	$751$	$6$	751.a	1.a	$1$	$149$	$149$	$120.448$		$_{}$	None	None	✓	$1$	$1$	\(-24\)	\(-92\)	\(-472\)	\(-451\)	$+$		$\mathrm{SU}(2)$
751.6.a.b	$751$	$6$	751.a	1.a	$1$	$164$	$164$	$120.448$		$_{}$	None	None	✓	$1$	$0$	\(24\)	\(70\)	\(528\)	\(333\)	$-$		$\mathrm{SU}(2)$