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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	47
3525.2.a.g	$3525$	$2$	3525.a	1.a	$1$	$1$	$1$	$28.147$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-2q^{7}+q^{9}+2q^{11}+\cdots\)
3525.2.a.h	$3525$	$2$	3525.a	1.a	$1$	$1$	$1$	$28.147$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}+3q^{7}+q^{9}-3q^{11}+\cdots\)
3525.2.a.p	$3525$	$2$	3525.a	1.a	$1$	$2$	$2$	$28.147$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+q^{4}+\beta q^{6}+q^{7}-\beta q^{8}+\cdots\)
3525.2.a.t	$3525$	$2$	3525.a	1.a	$1$	$4$	$4$	$28.147$	4.4.4352.1	None	✓	$1$	$1$	\(-4\)	\(4\)	\(0\)	\(-8\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1}+\beta _{3})q^{2}+q^{3}+(2+\beta _{1}+\cdots)q^{4}+\cdots\)
3525.2.a.y	$3525$	$2$	3525.a	1.a	$1$	$7$	$7$	$28.147$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(7\)	\(0\)	\(-11\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots\)