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Results (9 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
5052.2.a.a	$5052$	$2$	5052.a	1.a	$1$	$1$	$1$	$40.340$	\(\Q\)	None	✓	✓			5052.2.a.a	$1$	$0$	\(0\)	\(1\)	\(-2\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+4q^{7}+q^{9}-4q^{11}+\cdots\)
5052.2.a.b	$5052$	$2$	5052.a	1.a	$1$	$2$	$2$	$40.340$	\(\Q(\sqrt{5}) \)	None	✓	✓			5052.2.a.b	$1$	$0$	\(0\)	\(-2\)	\(1\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-1+3\beta )q^{5}+q^{9}+(2+2\beta )q^{11}+\cdots\)
5052.2.a.c	$5052$	$2$	5052.a	1.a	$1$	$2$	$2$	$40.340$	\(\Q(\sqrt{5}) \)	None	✓	✓			5052.2.a.c	$1$	$1$	\(0\)	\(2\)	\(-2\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2\beta q^{5}-\beta q^{7}+q^{9}-2q^{11}+\cdots\)
5052.2.a.d	$5052$	$2$	5052.a	1.a	$1$	$13$	$13$	$40.340$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	✓	✓		5052.2.a.d	$1$	$0$	\(0\)	\(-13\)	\(1\)	\(8\)	$-$	$3$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta _{1}q^{5}+(1+\beta _{7})q^{7}+q^{9}-\beta _{9}q^{11}+\cdots\)
5052.2.a.e	$5052$	$2$	5052.a	1.a	$1$	$13$	$13$	$40.340$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	✓	✓		5052.2.a.e	$1$	$1$	\(0\)	\(13\)	\(-2\)	\(-15\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-\beta _{1}q^{5}+(-1-\beta _{6})q^{7}+q^{9}+\cdots\)
5052.2.a.f	$5052$	$2$	5052.a	1.a	$1$	$19$	$19$	$40.340$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	✓	✓		5052.2.a.f	$1$	$0$	\(0\)	\(19\)	\(6\)	\(12\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+\beta _{1}q^{5}+(1-\beta _{6})q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
5052.2.a.g	$5052$	$2$	5052.a	1.a	$1$	$20$	$20$	$40.340$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	✓	✓	✓	5052.2.a.g	$1$	$1$	\(0\)	\(-20\)	\(-6\)	\(-8\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-\beta _{1}q^{5}-\beta _{14}q^{7}+q^{9}+\beta _{9}q^{11}+\cdots\)
5052.2.h.a	$5052$	$2$	5052.h	421.b	$2$	$36$	$36$	$40.340$		None		✓			5052.2.h.a	$2$	$0$	\(0\)	\(-36\)	\(2\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
5052.2.h.b	$5052$	$2$	5052.h	421.b	$2$	$36$	$36$	$40.340$		None		✓			5052.2.h.b	$2$	$0$	\(0\)	\(36\)	\(-2\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$