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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	7
1225.4.a.b	$1225$	$4$	1225.a	1.a	$1$	$1$	$1$	$72.277$	\(\Q\)	None	✓	$1$	$0$	\(-3\)	\(2\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}+2q^{3}+q^{4}-6q^{6}+21q^{8}+\cdots\)
1225.4.a.c	$1225$	$4$	1225.a	1.a	$1$	$1$	$1$	$72.277$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(-7\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-7q^{3}-4q^{4}+14q^{6}+24q^{8}+\cdots\)
1225.4.a.x	$1225$	$4$	1225.a	1.a	$1$	$2$	$2$	$72.277$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(6\)	\(2\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(3+\beta )q^{2}+(1-3\beta )q^{3}+(3+6\beta )q^{4}+\cdots\)
1225.4.a.bb	$1225$	$4$	1225.a	1.a	$1$	$4$	$4$	$72.277$	\(\Q(\sqrt{2}, \sqrt{65})\)	None	✓	$2$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$7$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{2}+\beta _{2}q^{3}+(9+\beta _{1})q^{4}+\cdots\)
1225.4.a.bg	$1225$	$4$	1225.a	1.a	$1$	$5$	$5$	$72.277$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(8\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2-\beta _{2})q^{3}+(7+\beta _{3})q^{4}+\cdots\)
1225.4.a.bi	$1225$	$4$	1225.a	1.a	$1$	$6$	$6$	$72.277$	6.6.1163891200.1	None	✓	$1$	$0$	\(2\)	\(-16\)	\(0\)	\(0\)		$+$	$+$	$+$	$2\cdot 7$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-3+\beta _{5})q^{3}+(2+3\beta _{1}+\cdots)q^{4}+\cdots\)
1225.4.a.bj	$1225$	$4$	1225.a	1.a	$1$	$6$	$6$	$72.277$	6.6.1163891200.1	None	✓	$1$	$0$	\(2\)	\(16\)	\(0\)	\(0\)		$+$	$+$	$+$	$2\cdot 7$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(3-\beta _{5})q^{3}+(2+3\beta _{1}+2\beta _{2}+\cdots)q^{4}+\cdots\)
1225.4.a.bl	$1225$	$4$	1225.a	1.a	$1$	$8$	$8$	$72.277$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(6\)	\(0\)	\(0\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1-\beta _{3})q^{3}+(3+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1225.4.a.bt	$1225$	$4$	1225.a	1.a	$1$	$12$	$12$	$72.277$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$2$	$0$	\(10\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{2})q^{2}+\beta _{3}q^{3}+(5-\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots\)