Newform search results

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

Results (8 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
675.4.a.b	$675$	$4$	675.a	1.a	$1$	$1$	$1$	$39.826$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-4q^{4}+24q^{8}-10q^{11}+80q^{13}+\cdots\)
675.4.a.g	$675$	$4$	675.a	1.a	$1$	$1$	$1$	$39.826$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(37\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-8q^{4}+37q^{7}+70q^{13}+2^{6}q^{16}+\cdots\)
675.4.a.j	$675$	$4$	675.a	1.a	$1$	$1$	$1$	$39.826$	\(\Q\)	None	✓	$1$	$0$	\(3\)	\(0\)	\(0\)	\(25\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}+q^{4}+5^{2}q^{7}-21q^{8}+15q^{11}+\cdots\)
675.4.a.p	$675$	$4$	675.a	1.a	$1$	$3$	$3$	$39.826$	3.3.1772.1	None	✓	$1$	$0$	\(-5\)	\(0\)	\(0\)	\(4\)		$+$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1})q^{2}+(7-3\beta _{1}+\beta _{2})q^{4}+\cdots\)
675.4.a.r	$675$	$4$	675.a	1.a	$1$	$3$	$3$	$39.826$	3.3.5637.1	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-44\)		$+$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(7+\beta _{1}+\beta _{2})q^{4}+(-14+\cdots)q^{7}+\cdots\)
675.4.a.s	$675$	$4$	675.a	1.a	$1$	$3$	$3$	$39.826$	3.3.1772.1	None	✓	$1$	$0$	\(5\)	\(0\)	\(0\)	\(4\)		$+$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q+(2-\beta _{1})q^{2}+(7-3\beta _{1}+\beta _{2})q^{4}+(2+\cdots)q^{7}+\cdots\)
675.4.a.v	$675$	$4$	675.a	1.a	$1$	$4$	$4$	$39.826$	4.4.183945.1	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(4\)		$+$	$+$	$+$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(5+\beta _{2})q^{4}+(1+3\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
675.4.a.w	$675$	$4$	675.a	1.a	$1$	$4$	$4$	$39.826$	4.4.3173728.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-30\)		$+$	$+$	$+$	$3^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(7+\beta _{2})q^{4}+(-7+\beta _{2})q^{7}+\cdots\)