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	7
1323.4.a.i	$1323$	$4$	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.l	$1323$	$4$	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.q	$1323$	$4$	1323.a	1.a	$1$	$2$	$2$	$78.060$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(22\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+2\beta )q^{2}+(1-4\beta )q^{4}+(11-\beta )q^{5}+\cdots\)
1323.4.a.v	$1323$	$4$	1323.a	1.a	$1$	$2$	$2$	$78.060$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(-22\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+2\beta )q^{2}+(1+4\beta )q^{4}+(-11-\beta )q^{5}+\cdots\)
1323.4.a.bj	$1323$	$4$	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.bm	$1323$	$4$	1323.a	1.a	$1$	$8$	$8$	$78.060$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$7$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(6-\beta _{2}+\beta _{4})q^{4}+(\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)
1323.4.a.bo	$1323$	$4$	1323.a	1.a	$1$	$8$	$8$	$78.060$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{5}\cdot 3^{4}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+(6+\beta _{1})q^{4}+\beta _{3}q^{5}+(-5\beta _{2}+\cdots)q^{8}+\cdots\)
1323.4.a.bq	$1323$	$4$	1323.a	1.a	$1$	$12$	$12$	$78.060$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(40\)	\(0\)		$+$	$+$	$+$	$2^{6}\cdot 3^{4}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(4+\beta _{2})q^{4}+(3+\beta _{5})q^{5}+\cdots\)