Newform search results

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

Results (4 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
525.4.a.b	$525$	$4$	525.a	1.a	$1$	$1$	$1$	$30.976$	\(\Q\)	None	✓	$1$	$0$	\(-4\)	\(3\)	\(0\)	\(7\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+3q^{3}+8q^{4}-12q^{6}+7q^{7}+\cdots\)
525.4.a.l	$525$	$4$	525.a	1.a	$1$	$2$	$2$	$30.976$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(6\)	\(0\)	\(14\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+3q^{3}+(1+2\beta )q^{4}+(3+\cdots)q^{6}+\cdots\)
525.4.a.p	$525$	$4$	525.a	1.a	$1$	$2$	$2$	$30.976$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(7\)	\(6\)	\(0\)	\(14\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(4-\beta )q^{2}+3q^{3}+(12-7\beta )q^{4}+(12+\cdots)q^{6}+\cdots\)
525.4.a.u	$525$	$4$	525.a	1.a	$1$	$4$	$4$	$30.976$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(12\)	\(0\)	\(28\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+3q^{3}+(4+\beta _{2})q^{4}+3\beta _{1}q^{6}+\cdots\)