Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

Results (6 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	11	17
6171.2.a.p	$6171$	$2$	6171.a	1.a	$1$	$2$	$2$	$49.276$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(1\)	\(-2\)	\(3\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-q^{3}+(2+\beta )q^{4}+(1+\beta )q^{5}+\cdots\)
6171.2.a.q	$6171$	$2$	6171.a	1.a	$1$	$3$	$3$	$49.276$	3.3.316.1	None	✓	$1$	$0$	\(-1\)	\(-3\)	\(4\)	\(-2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots\)
6171.2.a.r	$6171$	$2$	6171.a	1.a	$1$	$3$	$3$	$49.276$	3.3.148.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-4\)	\(7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}-q^{3}+(1-\beta _{1}-\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots\)
6171.2.a.w	$6171$	$2$	6171.a	1.a	$1$	$6$	$6$	$49.276$	6.6.46051664.1	None	✓	$1$	$0$	\(-1\)	\(-6\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
6171.2.a.x	$6171$	$2$	6171.a	1.a	$1$	$6$	$6$	$49.276$	6.6.29995216.1	None	✓	$1$	$0$	\(-1\)	\(-6\)	\(0\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{3}-\beta _{4})q^{4}-\beta _{3}q^{5}+\cdots\)
6171.2.a.bp	$6171$	$2$	6171.a	1.a	$1$	$20$	$20$	$49.276$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$0$	\(-3\)	\(-20\)	\(7\)	\(5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{12}q^{5}+\cdots\)