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.d	$6171$	$2$	6171.a	1.a	$1$	$1$	$1$	$49.276$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-2\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-2q^{5}-q^{7}+q^{9}-2q^{12}+\cdots\)
6171.2.a.e	$6171$	$2$	6171.a	1.a	$1$	$1$	$1$	$49.276$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(3\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}+3q^{5}+4q^{7}+q^{9}-2q^{12}+\cdots\)
6171.2.a.h	$6171$	$2$	6171.a	1.a	$1$	$1$	$1$	$49.276$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(1\)	\(0\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+q^{3}+2q^{4}+2q^{6}+3q^{7}+\cdots\)
6171.2.a.i	$6171$	$2$	6171.a	1.a	$1$	$1$	$1$	$49.276$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(1\)	\(2\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+q^{3}+2q^{4}+2q^{5}+2q^{6}+\cdots\)
6171.2.a.bb	$6171$	$2$	6171.a	1.a	$1$	$6$	$6$	$49.276$	6.6.4642000.1	None	✓	$1$	$0$	\(1\)	\(6\)	\(-2\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2}+\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
6171.2.a.bc	$6171$	$2$	6171.a	1.a	$1$	$6$	$6$	$49.276$	6.6.78067472.1	None	✓	$1$	$0$	\(1\)	\(6\)	\(2\)	\(-7\)		$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+\beta _{4}q^{5}+\cdots\)
6171.2.a.be	$6171$	$2$	6171.a	1.a	$1$	$7$	$7$	$49.276$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(7\)	\(0\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}-\beta _{4}q^{5}+\cdots\)
6171.2.a.br	$6171$	$2$	6171.a	1.a	$1$	$20$	$20$	$49.276$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(20\)	\(17\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{13}+\cdots)q^{5}+\cdots\)