Newform search results

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

Results (4 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	3	5	31
7440.2.a.b	$7440$	$2$	7440.a	1.a	$1$	$1$	$1$	$59.409$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-1\)	\(-2\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-2q^{7}+q^{9}-4q^{13}+q^{15}+\cdots\)
7440.2.a.bd	$7440$	$2$	7440.a	1.a	$1$	$2$	$2$	$59.409$	\(\Q(\sqrt{65}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-2\)	\(1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+\beta q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots\)
7440.2.a.be	$7440$	$2$	7440.a	1.a	$1$	$2$	$2$	$59.409$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-2\)	\(4\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+(2+\beta )q^{7}+q^{9}-2\beta q^{11}+\cdots\)
7440.2.a.bn	$7440$	$2$	7440.a	1.a	$1$	$3$	$3$	$59.409$	3.3.404.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-3\)	\(2\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+(1-\beta _{2})q^{7}+q^{9}-2\beta _{2}q^{11}+\cdots\)