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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	7
1575.4.a.d	$1575$	$4$	1575.a	1.a	$1$	$1$	$1$	$92.928$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(7\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-4q^{4}+7q^{7}+24q^{8}+21q^{11}+\cdots\)
1575.4.a.j	$1575$	$4$	1575.a	1.a	$1$	$1$	$1$	$92.928$	\(\Q\)	None	✓	$1$	$1$	\(3\)	\(0\)	\(0\)	\(7\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}+q^{4}+7q^{7}-21q^{8}+6q^{11}+\cdots\)
1575.4.a.x	$1575$	$4$	1575.a	1.a	$1$	$2$	$2$	$92.928$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(3\)	\(0\)	\(0\)	\(14\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(-3+3\beta )q^{4}+7q^{7}+\cdots\)
1575.4.a.bd	$1575$	$4$	1575.a	1.a	$1$	$3$	$3$	$92.928$	3.3.2292.1	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(21\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+7q^{7}+\cdots\)
1575.4.a.bg	$1575$	$4$	1575.a	1.a	$1$	$4$	$4$	$92.928$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(0\)	\(28\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(9+\beta _{2}-\beta _{3})q^{4}+\cdots\)
1575.4.a.bn	$1575$	$4$	1575.a	1.a	$1$	$5$	$5$	$92.928$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(0\)	\(35\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(4-\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots\)
1575.4.a.bo	$1575$	$4$	1575.a	1.a	$1$	$5$	$5$	$92.928$	5.5.78066700.1	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(35\)		$-$	$-$	$-$	$-$	$2^{5}\cdot 5$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(5-\beta _{1}-\beta _{3})q^{4}+7q^{7}+\cdots\)