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	13
1521.4.a.g	$1521$	$4$	1521.a	1.a	$1$	$1$	$1$	$89.742$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-20\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-8q^{4}-20q^{7}+2^{6}q^{16}-56q^{19}+\cdots\)
1521.4.a.p	$1521$	$4$	1521.a	1.a	$1$	$2$	$2$	$89.742$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(44\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-q^{4}-4\beta q^{5}+22q^{7}-9\beta q^{8}+\cdots\)
1521.4.a.ba	$1521$	$4$	1521.a	1.a	$1$	$4$	$4$	$89.742$	4.4.1520092.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-36\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(14+\beta _{2})q^{4}-\beta _{3}q^{5}+(-8+\cdots)q^{7}+\cdots\)
1521.4.a.bc	$1521$	$4$	1521.a	1.a	$1$	$8$	$8$	$89.742$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-22\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(5+\beta _{2})q^{4}+\beta _{3}q^{5}+(-3+\cdots)q^{7}+\cdots\)
1521.4.a.bd	$1521$	$4$	1521.a	1.a	$1$	$8$	$8$	$89.742$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(22\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(5+\beta _{2})q^{4}+\beta _{3}q^{5}+(3-\beta _{5}+\cdots)q^{7}+\cdots\)
1521.4.a.bn	$1521$	$4$	1521.a	1.a	$1$	$18$	$18$	$89.742$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(94\)		$+$	$+$	$+$	$2^{3}\cdot 7\cdot 13^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(3+\beta _{2})q^{4}+(\beta _{1}-\beta _{14})q^{5}+\cdots\)