Newform search results

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

Results (6 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.n	$1225$	$4$	1225.a	1.a	$1$	$2$	$2$	$72.277$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(-6\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}-6\beta q^{3}+q^{4}+18\beta q^{6}+21q^{8}+\cdots\)
1225.4.a.w	$1225$	$4$	1225.a	1.a	$1$	$2$	$2$	$72.277$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(6\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}+6\beta q^{3}+q^{4}+18\beta q^{6}-21q^{8}+\cdots\)
1225.4.a.bn	$1225$	$4$	1225.a	1.a	$1$	$8$	$8$	$72.277$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(-6\)	\(0\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-1+\beta _{3})q^{3}+(3+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1225.4.a.bp	$1225$	$4$	1225.a	1.a	$1$	$10$	$10$	$72.277$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{4}q^{3}+(3+\beta _{2})q^{4}+(-5+\cdots)q^{6}+\cdots\)
1225.4.a.br	$1225$	$4$	1225.a	1.a	$1$	$12$	$12$	$72.277$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$2$	$1$	\(-10\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{2})q^{2}+\beta _{3}q^{3}+(5-\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots\)
1225.4.a.bs	$1225$	$4$	1225.a	1.a	$1$	$12$	$12$	$72.277$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{6}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{5}q^{2}+\beta _{2}q^{3}+(4+\beta _{3})q^{4}+(\beta _{8}+\cdots)q^{6}+\cdots\)