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	13
1521.2.a.a	$1521$	$2$	1521.a	1.a	$1$	$1$	$1$	$12.145$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(1\)	\(2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+q^{5}+2q^{7}+3q^{8}-q^{10}+\cdots\)
1521.2.a.d	$1521$	$2$	1521.a	1.a	$1$	$1$	$1$	$12.145$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-1\)	\(-2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-q^{5}-2q^{7}-3q^{8}-q^{10}+\cdots\)
1521.2.a.e	$1521$	$2$	1521.a	1.a	$1$	$1$	$1$	$12.145$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(2\)	\(4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+2q^{5}+4q^{7}-3q^{8}+2q^{10}+\cdots\)
1521.2.a.f	$1521$	$2$	1521.a	1.a	$1$	$2$	$2$	$12.145$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-2\beta q^{5}+\cdots\)
1521.2.a.g	$1521$	$2$	1521.a	1.a	$1$	$2$	$2$	$12.145$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(3\)	\(-3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(2+\beta )q^{4}+(2-\beta )q^{5}+(-1+\cdots)q^{7}+\cdots\)
1521.2.a.m	$1521$	$2$	1521.a	1.a	$1$	$2$	$2$	$12.145$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-3\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(2+\beta )q^{4}+(-2+\beta )q^{5}+(1+\cdots)q^{7}+\cdots\)
1521.2.a.p	$1521$	$2$	1521.a	1.a	$1$	$3$	$3$	$12.145$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-4\)	\(10\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{2}q^{4}+(-2+\beta _{1}-\beta _{2})q^{5}+\cdots\)
1521.2.a.r	$1521$	$2$	1521.a	1.a	$1$	$3$	$3$	$12.145$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(4\)	\(-3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
1521.2.a.s	$1521$	$2$	1521.a	1.a	$1$	$3$	$3$	$12.145$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(3\)	\(0\)	\(6\)	\(-2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1}-\beta _{2})q^{2}+(4-\beta _{1})q^{4}+(1+\cdots)q^{5}+\cdots\)