Newform search results

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

Results (5 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	23
5635.2.a.e	$5635$	$2$	5635.a	1.a	$1$	$1$	$1$	$44.996$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-2\)	\(-1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-2q^{3}-q^{4}-q^{5}-2q^{6}-3q^{8}+\cdots\)
5635.2.a.x	$5635$	$2$	5635.a	1.a	$1$	$5$	$5$	$44.996$	5.5.122821.1	None	✓	$1$	$1$	\(-3\)	\(6\)	\(-5\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(1+\beta _{3})q^{3}+(\beta _{3}+\beta _{4})q^{4}+\cdots\)
5635.2.a.bb	$5635$	$2$	5635.a	1.a	$1$	$8$	$8$	$44.996$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(-7\)	\(-8\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-1-\beta _{6})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
5635.2.a.bf	$5635$	$2$	5635.a	1.a	$1$	$13$	$13$	$44.996$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(-5\)	\(2\)	\(-13\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{10}q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\cdots\)
5635.2.a.bg	$5635$	$2$	5635.a	1.a	$1$	$13$	$13$	$44.996$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-13\)	\(0\)		$+$	$-$	$-$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{4}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)