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.c	$1323$	$4$	1323.a	1.a	$1$	$1$	$1$	$78.060$	\(\Q\)	None	✓	$1$	$1$	\(-3\)	\(0\)	\(6\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}+q^{4}+6q^{5}+21q^{8}-18q^{10}+\cdots\)
1323.4.a.g	$1323$	$4$	1323.a	1.a	$1$	$1$	$1$	$78.060$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-8q^{4}-19q^{13}+2^{6}q^{16}+56q^{19}+\cdots\)
1323.4.a.p	$1323$	$4$	1323.a	1.a	$1$	$2$	$2$	$78.060$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-22\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+2\beta )q^{2}+(1-4\beta )q^{4}+(-11+\cdots)q^{5}+\cdots\)
1323.4.a.w	$1323$	$4$	1323.a	1.a	$1$	$2$	$2$	$78.060$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(22\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+2\beta )q^{2}+(1+4\beta )q^{4}+(11+\beta )q^{5}+\cdots\)
1323.4.a.bd	$1323$	$4$	1323.a	1.a	$1$	$6$	$6$	$78.060$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{2}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(5+\beta _{3})q^{4}+\beta _{4}q^{5}+(\beta _{1}+\cdots)q^{8}+\cdots\)
1323.4.a.bi	$1323$	$4$	1323.a	1.a	$1$	$7$	$7$	$78.060$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(1\)	\(0\)		$-$	$+$	$-$	$3^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(4+\beta _{1}+\beta _{2})q^{4}+\beta _{4}q^{5}+\cdots\)
1323.4.a.bl	$1323$	$4$	1323.a	1.a	$1$	$8$	$8$	$78.060$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$7$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(6-\beta _{2}+\beta _{4})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
1323.4.a.bp	$1323$	$4$	1323.a	1.a	$1$	$12$	$12$	$78.060$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(-40\)	\(0\)		$-$	$+$	$-$	$2^{6}\cdot 3^{4}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(4+\beta _{2})q^{4}+(-3-\beta _{5})q^{5}+\cdots\)