Newform search results

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

Results (10 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5	23
7360.2.a.o	$7360$	$2$	7360.a	1.a	$1$	$1$	$1$	$58.770$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-3q^{9}-4q^{11}+2q^{13}+2q^{17}+\cdots\)
7360.2.a.r	$7360$	$2$	7360.a	1.a	$1$	$1$	$1$	$58.770$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+q^{7}-3q^{9}+6q^{11}-6q^{13}+\cdots\)
7360.2.a.x	$7360$	$2$	7360.a	1.a	$1$	$1$	$1$	$58.770$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(1\)	\(-5\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{5}-5q^{7}+q^{9}+2q^{11}+\cdots\)
7360.2.a.bb	$7360$	$2$	7360.a	1.a	$1$	$1$	$1$	$58.770$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(1\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+q^{5}-2q^{7}+6q^{9}+3q^{13}+\cdots\)
7360.2.a.bf	$7360$	$2$	7360.a	1.a	$1$	$2$	$2$	$58.770$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(2\)	\(2\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+(1+\beta )q^{7}-2q^{9}+(-1+\cdots)q^{11}+\cdots\)
7360.2.a.bl	$7360$	$2$	7360.a	1.a	$1$	$2$	$2$	$58.770$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(2\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+q^{5}+(1-\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
7360.2.a.ce	$7360$	$2$	7360.a	1.a	$1$	$3$	$3$	$58.770$	3.3.1101.1	None	✓	$1$	$0$	\(0\)	\(1\)	\(3\)	\(-3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+q^{5}+(-1+\beta _{1}+\beta _{2})q^{7}+\cdots\)
7360.2.a.ch	$7360$	$2$	7360.a	1.a	$1$	$4$	$4$	$58.770$	4.4.21208.1	None	✓	$1$	$0$	\(0\)	\(-1\)	\(4\)	\(5\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{3}+q^{5}+(1+\beta _{1})q^{7}+(3-\beta _{1}+\cdots)q^{9}+\cdots\)
7360.2.a.cp	$7360$	$2$	7360.a	1.a	$1$	$5$	$5$	$58.770$	5.5.13955077.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(5\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+q^{5}+(\beta _{3}+\beta _{4})q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
7360.2.a.cs	$7360$	$2$	7360.a	1.a	$1$	$5$	$5$	$58.770$	5.5.2255384.1	None	✓	$1$	$0$	\(0\)	\(1\)	\(5\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+q^{5}+(\beta _{2}-\beta _{3})q^{7}+\beta _{2}q^{9}+\cdots\)