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Results (14 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	251
6275.2.a.a	$6275$	$2$	6275.a	1.a	$1$	$2$	$2$	$50.106$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-3\)	\(-2\)	\(0\)	\(4\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}-q^{3}+3\beta q^{4}+(1+\beta )q^{6}+\cdots\)
6275.2.a.b	$6275$	$2$	6275.a	1.a	$1$	$4$	$4$	$50.106$	4.4.2225.1	None	✓	$1$	$1$	\(2\)	\(-2\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+(-1-\beta _{3})q^{3}+(-1-\beta _{2}+\cdots)q^{4}+\cdots\)
6275.2.a.c	$6275$	$2$	6275.a	1.a	$1$	$4$	$4$	$50.106$	4.4.725.1	None	✓	$1$	$1$	\(2\)	\(2\)	\(0\)	\(3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{3})q^{2}+\beta _{2}q^{3}-\beta _{3}q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots\)
6275.2.a.d	$6275$	$2$	6275.a	1.a	$1$	$14$	$14$	$50.106$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(3\)	\(0\)	\(3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{10}q^{3}+(1+\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots\)
6275.2.a.e	$6275$	$2$	6275.a	1.a	$1$	$17$	$17$	$50.106$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(-3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(2+\beta _{2})q^{4}+(1+\beta _{3}+\cdots)q^{6}+\cdots\)
6275.2.a.f	$6275$	$2$	6275.a	1.a	$1$	$18$	$18$	$50.106$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(9\)	\(7\)	\(0\)	\(13\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}-\beta _{7}q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
6275.2.a.g	$6275$	$2$	6275.a	1.a	$1$	$21$	$21$	$50.106$		None	✓	$1$	$1$	\(-5\)	\(-3\)	\(0\)	\(-11\)		$+$	$+$	$+$		$\mathrm{SU}(2)$
6275.2.a.h	$6275$	$2$	6275.a	1.a	$1$	$24$	$24$	$50.106$		None	✓	$1$	$0$	\(-3\)	\(-3\)	\(0\)	\(1\)		$+$	$-$	$-$		$\mathrm{SU}(2)$
6275.2.a.i	$6275$	$2$	6275.a	1.a	$1$	$42$	$42$	$50.106$		None	✓	$1$	$1$	\(-8\)	\(-5\)	\(0\)	\(-14\)		$+$	$+$	$+$		$\mathrm{SU}(2)$
6275.2.a.j	$6275$	$2$	6275.a	1.a	$1$	$42$	$42$	$50.106$		None	✓	$1$	$1$	\(-6\)	\(-7\)	\(0\)	\(-14\)		$-$	$-$	$+$		$\mathrm{SU}(2)$
6275.2.a.k	$6275$	$2$	6275.a	1.a	$1$	$42$	$42$	$50.106$		None	✓	$1$	$0$	\(6\)	\(7\)	\(0\)	\(14\)		$+$	$-$	$-$		$\mathrm{SU}(2)$
6275.2.a.l	$6275$	$2$	6275.a	1.a	$1$	$42$	$42$	$50.106$		None	✓	$1$	$0$	\(8\)	\(5\)	\(0\)	\(14\)		$-$	$+$	$-$		$\mathrm{SU}(2)$
6275.2.a.m	$6275$	$2$	6275.a	1.a	$1$	$48$	$48$	$50.106$		None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$		$\mathrm{SU}(2)$
6275.2.a.n	$6275$	$2$	6275.a	1.a	$1$	$76$	$76$	$50.106$		None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$		$\mathrm{SU}(2)$