Newform search results

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

Results (9 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.a	$675$	$4$	675.a	1.a	$1$	$1$	$1$	$39.826$	\(\Q\)	None	✓	$1$	$1$	\(-3\)	\(0\)	\(0\)	\(25\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}+q^{4}+5^{2}q^{7}+21q^{8}-15q^{11}+\cdots\)
675.4.a.c	$675$	$4$	675.a	1.a	$1$	$1$	$1$	$39.826$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-7q^{4}+6q^{7}+15q^{8}-47q^{11}+\cdots\)
675.4.a.e	$675$	$4$	675.a	1.a	$1$	$1$	$1$	$39.826$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-17\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-8q^{4}-17q^{7}+70q^{13}+2^{6}q^{16}+\cdots\)
675.4.a.h	$675$	$4$	675.a	1.a	$1$	$1$	$1$	$39.826$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-7q^{4}+6q^{7}-15q^{8}+47q^{11}+\cdots\)
675.4.a.i	$675$	$4$	675.a	1.a	$1$	$1$	$1$	$39.826$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-4q^{4}-24q^{8}+10q^{11}+80q^{13}+\cdots\)
675.4.a.m	$675$	$4$	675.a	1.a	$1$	$2$	$2$	$39.826$	\(\Q(\sqrt{13}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(18\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+5q^{4}+9q^{7}+3\beta q^{8}+4\beta q^{11}+\cdots\)
675.4.a.n	$675$	$4$	675.a	1.a	$1$	$2$	$2$	$39.826$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-22\)		$-$	$+$	$-$	$3$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+10q^{4}-11q^{7}+2\beta q^{8}-4\beta q^{11}+\cdots\)
675.4.a.q	$675$	$4$	675.a	1.a	$1$	$3$	$3$	$39.826$	3.3.5637.1	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-44\)		$-$	$+$	$-$	$3$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(7+\beta _{1}+\beta _{2})q^{4}+(-14+\cdots)q^{7}+\cdots\)
675.4.a.z	$675$	$4$	675.a	1.a	$1$	$4$	$4$	$39.826$	4.4.183945.1	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(4\)		$-$	$+$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(5+\beta _{2})q^{4}+(1+3\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)