Newform search results

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

Results (9 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.a	$4719$	$2$	4719.a	1.a	$1$	$1$	$1$	$37.681$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(-1\)	\(0\)	\(3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-q^{3}+2q^{4}+2q^{6}+3q^{7}+\cdots\)
4719.2.a.c	$4719$	$2$	4719.a	1.a	$1$	$1$	$1$	$37.681$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(2\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}+2q^{5}+q^{6}+4q^{7}+\cdots\)
4719.2.a.d	$4719$	$2$	4719.a	1.a	$1$	$1$	$1$	$37.681$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(2\)	\(-5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}+2q^{5}-5q^{7}+q^{9}+2q^{12}+\cdots\)
4719.2.a.f	$4719$	$2$	4719.a	1.a	$1$	$1$	$1$	$37.681$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(2\)	\(3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}+2q^{5}+3q^{7}+q^{9}+2q^{12}+\cdots\)
4719.2.a.j	$4719$	$2$	4719.a	1.a	$1$	$1$	$1$	$37.681$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}-q^{6}-3q^{8}+q^{9}+\cdots\)
4719.2.a.v	$4719$	$2$	4719.a	1.a	$1$	$3$	$3$	$37.681$	3.3.321.1	None	✓	$1$	$0$	\(2\)	\(-3\)	\(-5\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{2}-q^{3}+(3-\beta _{1})q^{4}+(-1+\cdots)q^{5}+\cdots\)
4719.2.a.y	$4719$	$2$	4719.a	1.a	$1$	$4$	$4$	$37.681$	4.4.2777.1	None	✓	$1$	$0$	\(2\)	\(-4\)	\(-3\)	\(-5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{3})q^{2}-q^{3}+(1-\beta _{2}-\beta _{3})q^{4}+\cdots\)
4719.2.a.z	$4719$	$2$	4719.a	1.a	$1$	$4$	$4$	$37.681$	4.4.8468.1	None	✓	$1$	$0$	\(2\)	\(-4\)	\(0\)	\(-2\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}-q^{3}+(2-\beta _{1})q^{4}+\beta _{3}q^{5}+\cdots\)
4719.2.a.bo	$4719$	$2$	4719.a	1.a	$1$	$14$	$14$	$37.681$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(-3\)	\(-14\)	\(8\)	\(-3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{9}+\cdots)q^{5}+\cdots\)