Newform search results

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

Results (11 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	5	13
7605.2.a.n	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+q^{5}+3q^{7}+3q^{11}+4q^{16}+\cdots\)
7605.2.a.p	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(1\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+q^{5}-2q^{7}-3q^{8}+q^{10}+\cdots\)
7605.2.a.bh	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(1\)	\(0\)	\(2\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(2+\beta )q^{4}+q^{5}+(1+\beta )q^{7}+\cdots\)
7605.2.a.bk	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(2\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(2+2\beta )q^{4}+q^{5}+(1-2\beta )q^{7}+\cdots\)
7605.2.a.bs	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	3.3.564.1	None	✓	$1$	$0$	\(-1\)	\(0\)	\(3\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+q^{5}+(1+\beta _{2})q^{7}+\cdots\)
7605.2.a.cb	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(3\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+q^{5}+(1+\beta _{1})q^{7}+\cdots\)
7605.2.a.cf	$7605$	$2$	7605.a	1.a	$1$	$4$	$4$	$60.726$	4.4.4752.1	None	✓	$1$	$0$	\(-2\)	\(0\)	\(4\)	\(10\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+q^{5}+(3+\beta _{2}+\cdots)q^{7}+\cdots\)
7605.2.a.ci	$7605$	$2$	7605.a	1.a	$1$	$4$	$4$	$60.726$	4.4.13824.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
7605.2.a.ck	$7605$	$2$	7605.a	1.a	$1$	$4$	$4$	$60.726$	4.4.7488.1	None	✓	$1$	$0$	\(2\)	\(0\)	\(4\)	\(-6\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{2}+(1-\beta _{2})q^{4}+q^{5}+(-2+\beta _{1}+\cdots)q^{7}+\cdots\)
7605.2.a.cr	$7605$	$2$	7605.a	1.a	$1$	$9$	$9$	$60.726$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(9\)	\(10\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{7}q^{2}+(1+\beta _{1}-\beta _{3}+\beta _{4}+\beta _{6}+\cdots)q^{4}+\cdots\)
7605.2.a.cs	$7605$	$2$	7605.a	1.a	$1$	$9$	$9$	$60.726$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(0\)	\(9\)	\(-7\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{6})q^{2}+(2-\beta _{3}-\beta _{6}+\beta _{7}+\cdots)q^{4}+\cdots\)