Newform search results

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

Results (13 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	7
1323.4.a.f	$1323$	$4$	1323.a	1.a	$1$	$1$	$1$	$78.060$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-8q^{4}-89q^{13}+2^{6}q^{16}-56q^{19}+\cdots\)
1323.4.a.k	$1323$	$4$	1323.a	1.a	$1$	$1$	$1$	$78.060$	\(\Q\)	None	✓	$1$	$0$	\(3\)	\(0\)	\(-15\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}+q^{4}-15q^{5}-21q^{8}-45q^{10}+\cdots\)
1323.4.a.m	$1323$	$4$	1323.a	1.a	$1$	$1$	$1$	$78.060$	\(\Q\)	None	✓	$1$	$0$	\(3\)	\(0\)	\(6\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}+q^{4}+6q^{5}-21q^{8}+18q^{10}+\cdots\)
1323.4.a.n	$1323$	$4$	1323.a	1.a	$1$	$1$	$1$	$78.060$	\(\Q\)	None	✓	$1$	$0$	\(3\)	\(0\)	\(12\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}+q^{4}+12q^{5}-21q^{8}+6^{2}q^{10}+\cdots\)
1323.4.a.o	$1323$	$4$	1323.a	1.a	$1$	$2$	$2$	$78.060$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(-6\)	\(0\)	\(6\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-3+\beta )q^{2}+(4-6\beta )q^{4}+(3-4\beta )q^{5}+\cdots\)
1323.4.a.r	$1323$	$4$	1323.a	1.a	$1$	$2$	$2$	$78.060$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-5q^{4}-\beta q^{5}-13\beta q^{8}-3q^{10}+\cdots\)
1323.4.a.t	$1323$	$4$	1323.a	1.a	$1$	$2$	$2$	$78.060$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+10q^{4}+4\beta q^{5}+2\beta q^{8}+72q^{10}+\cdots\)
1323.4.a.z	$1323$	$4$	1323.a	1.a	$1$	$3$	$3$	$78.060$	3.3.3576.1	None	✓	$1$	$0$	\(1\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(6-2\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
1323.4.a.ba	$1323$	$4$	1323.a	1.a	$1$	$4$	$4$	$78.060$	\(\Q(\sqrt{5}, \sqrt{13})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{2}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}-\beta _{2})q^{2}+(6-\beta _{3})q^{4}+(4\beta _{1}+\cdots)q^{5}+\cdots\)
1323.4.a.bc	$1323$	$4$	1323.a	1.a	$1$	$6$	$6$	$78.060$	6.6.346909504.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(24\)	\(0\)		$-$	$-$	$+$	$2^{4}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(3+\beta _{2})q^{4}+(4-\beta _{4})q^{5}+\cdots\)
1323.4.a.bg	$1323$	$4$	1323.a	1.a	$1$	$6$	$6$	$78.060$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{3}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(6+\beta _{2})q^{4}+(2\beta _{1}+\beta _{3})q^{5}+\cdots\)
1323.4.a.bk	$1323$	$4$	1323.a	1.a	$1$	$7$	$7$	$78.060$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(1\)	\(0\)		$-$	$-$	$+$	$3^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(4+\beta _{1}+\beta _{2})q^{4}+\beta _{4}q^{5}+\cdots\)
1323.4.a.bn	$1323$	$4$	1323.a	1.a	$1$	$8$	$8$	$78.060$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{5}\cdot 3^{4}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+(6+\beta _{1})q^{4}-\beta _{3}q^{5}+(-5\beta _{2}+\cdots)q^{8}+\cdots\)