Newform search results

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

Results (7 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	13
4719.2.a.b	$4719$	$2$	4719.a	1.a	$1$	$1$	$1$	$37.681$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(1\)	\(-2\)	\(-3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+q^{3}+2q^{4}-2q^{5}-2q^{6}+\cdots\)
4719.2.a.i	$4719$	$2$	4719.a	1.a	$1$	$1$	$1$	$37.681$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}+q^{7}+q^{9}-2q^{12}-q^{13}+\cdots\)
4719.2.a.k	$4719$	$2$	4719.a	1.a	$1$	$1$	$1$	$37.681$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(1\)	\(-2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}-2q^{5}+q^{6}-3q^{8}+\cdots\)
4719.2.a.t	$4719$	$2$	4719.a	1.a	$1$	$3$	$3$	$37.681$	3.3.148.1	None	✓	$1$	$1$	\(-1\)	\(3\)	\(0\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}-\beta _{2}q^{5}+\cdots\)
4719.2.a.w	$4719$	$2$	4719.a	1.a	$1$	$3$	$3$	$37.681$	3.3.169.1	None	✓	$1$	$1$	\(2\)	\(3\)	\(3\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
4719.2.a.ba	$4719$	$2$	4719.a	1.a	$1$	$5$	$5$	$37.681$	5.5.210557.1	None	✓	$1$	$1$	\(-2\)	\(5\)	\(3\)	\(-6\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{2}+q^{3}+(1-\beta _{4})q^{4}+(1-\beta _{2}+\cdots)q^{5}+\cdots\)
4719.2.a.bh	$4719$	$2$	4719.a	1.a	$1$	$6$	$6$	$37.681$	6.6.966125.1	None	✓	$1$	$1$	\(1\)	\(6\)	\(-6\)	\(5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(-1+\beta _{3}-\beta _{4}+\beta _{5})q^{4}+\cdots\)