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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	7
392.6.a.a	$392$	$6$	392.a	1.a	$1$	$1$	$1$	$62.870$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-30\)	\(-32\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-30q^{3}-2^{5}q^{5}+657q^{9}-624q^{11}+\cdots\)
392.6.a.e	$392$	$6$	392.a	1.a	$1$	$2$	$2$	$62.870$	\(\Q(\sqrt{193}) \)	None	✓	$1$	$0$	\(0\)	\(14\)	\(-42\)	\(0\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(7-\beta )q^{3}+(-21+5\beta )q^{5}+(-1+\cdots)q^{9}+\cdots\)
392.6.a.f	$392$	$6$	392.a	1.a	$1$	$2$	$2$	$62.870$	\(\Q(\sqrt{177}) \)	None	✓	$1$	$0$	\(0\)	\(26\)	\(62\)	\(0\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(13-\beta )q^{3}+(31-5\beta )q^{5}+(103-26\beta )q^{9}+\cdots\)
392.6.a.g	$392$	$6$	392.a	1.a	$1$	$4$	$4$	$62.870$	\(\Q(\sqrt{86}, \sqrt{134})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2^{7}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{2}q^{5}+(-23+\beta _{3})q^{9}+\cdots\)
392.6.a.j	$392$	$6$	392.a	1.a	$1$	$5$	$5$	$62.870$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-5\)	\(81\)	\(0\)		$+$	$-$	$-$	$2^{9}\cdot 7$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{3}+(2^{4}+\beta _{1}+\beta _{2})q^{5}+\cdots\)