Newform search results

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

Results (6 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.f	$675$	$4$	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.k	$675$	$4$	675.a	1.a	$1$	$2$	$2$	$39.826$	\(\Q(\sqrt{5}) \)	\(\Q(\sqrt{-15}) \)	✓	$2$	$1$	\(-9\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+(-4-\beta )q^{2}+(9+9\beta )q^{4}+(-13+\cdots)q^{8}+\cdots\)
675.4.a.l	$675$	$4$	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.u	$675$	$4$	675.a	1.a	$1$	$4$	$4$	$39.826$	4.4.183945.1	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-4\)		$+$	$-$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(5+\beta _{2})q^{4}+(-1-3\beta _{1}+\cdots)q^{7}+\cdots\)
675.4.a.ba	$675$	$4$	675.a	1.a	$1$	$4$	$4$	$39.826$	4.4.467024.1	None	✓	$2$	$1$	\(6\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(2+\beta _{3})q^{2}+3\beta _{3}q^{4}+\beta _{2}q^{7}+(-4+\cdots)q^{8}+\cdots\)
675.4.a.bb	$675$	$4$	675.a	1.a	$1$	$6$	$6$	$39.826$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-36\)		$+$	$-$	$-$	$2^{2}\cdot 3^{4}\cdot 5$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(5-\beta _{4})q^{4}+(-6+\beta _{2}+\beta _{4}+\cdots)q^{7}+\cdots\)