Newform search results

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

Results (8 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.c	$6171$	$2$	6171.a	1.a	$1$	$1$	$1$	$49.276$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-2\)	\(3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}-2q^{5}+3q^{7}+q^{9}+2q^{12}+\cdots\)
6171.2.a.k	$6171$	$2$	6171.a	1.a	$1$	$2$	$2$	$49.276$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(-1\)	\(-2\)	\(4\)	\(-1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(2+\beta )q^{4}+2q^{5}+\beta q^{6}+\cdots\)
6171.2.a.l	$6171$	$2$	6171.a	1.a	$1$	$2$	$2$	$49.276$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(1\)	\(-4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-2\beta )q^{2}-q^{3}+3q^{4}+(1-\beta )q^{5}+\cdots\)
6171.2.a.o	$6171$	$2$	6171.a	1.a	$1$	$2$	$2$	$49.276$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(1\)	\(-2\)	\(-6\)	\(4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-3q^{5}+\cdots\)
6171.2.a.s	$6171$	$2$	6171.a	1.a	$1$	$3$	$3$	$49.276$	3.3.148.1	None	✓	$1$	$1$	\(2\)	\(-3\)	\(-2\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}-q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots\)
6171.2.a.z	$6171$	$2$	6171.a	1.a	$1$	$6$	$6$	$49.276$	6.6.29995216.1	None	✓	$1$	$1$	\(1\)	\(-6\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{3}-\beta _{4})q^{4}-\beta _{3}q^{5}+\cdots\)
6171.2.a.ba	$6171$	$2$	6171.a	1.a	$1$	$6$	$6$	$49.276$	6.6.46051664.1	None	✓	$1$	$1$	\(1\)	\(-6\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
6171.2.a.bf	$6171$	$2$	6171.a	1.a	$1$	$8$	$8$	$49.276$	8.8.\(\cdots\).1	None	✓	$1$	$1$	\(-4\)	\(-8\)	\(-5\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{2}-q^{3}+(-1+\beta _{3}-\beta _{5})q^{4}+\cdots\)