Newform search results

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

Results (7 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	7
1225.2.a.d	$1225$	$2$	1225.a	1.a	$1$	$1$	$1$	$9.782$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}-q^{6}+3q^{8}-2q^{9}+\cdots\)
1225.2.a.f	$1225$	$2$	1225.a	1.a	$1$	$1$	$1$	$9.782$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}-q^{6}-3q^{8}-2q^{9}+\cdots\)
1225.2.a.l	$1225$	$2$	1225.a	1.a	$1$	$2$	$2$	$9.782$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2\beta q^{3}-q^{4}-2\beta q^{6}+3q^{8}+\cdots\)
1225.2.a.v	$1225$	$2$	1225.a	1.a	$1$	$2$	$2$	$9.782$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-2\beta q^{3}-q^{4}-2\beta q^{6}-3q^{8}+\cdots\)
1225.2.a.x	$1225$	$2$	1225.a	1.a	$1$	$3$	$3$	$9.782$	3.3.257.1	None	✓	$1$	$0$	\(-1\)	\(3\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
1225.2.a.bb	$1225$	$2$	1225.a	1.a	$1$	$4$	$4$	$9.782$	\(\Q(\zeta_{24})^+\)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{2}-\beta _{1}q^{3}+4q^{4}+3\beta _{2}q^{6}+\cdots\)
1225.2.a.bc	$1225$	$2$	1225.a	1.a	$1$	$4$	$4$	$9.782$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	$2$	$0$	\(6\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{2}+\beta _{1}q^{3}+3\beta _{2}q^{4}+(2\beta _{1}+\cdots)q^{6}+\cdots\)