Newform search results

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

Results (4 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.n	$1521$	$4$	1521.a	1.a	$1$	$2$	$2$	$89.742$	\(\Q(\sqrt{3}) \)	\(\Q(\sqrt{-3}) \)	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2\cdot 3^{2}$	$N(\mathrm{U}(1))$	\(q-8q^{4}+\beta q^{7}+2^{6}q^{16}-5\beta q^{19}+\cdots\)
1521.4.a.y	$1521$	$4$	1521.a	1.a	$1$	$4$	$4$	$89.742$	4.4.8112.1	\(\Q(\sqrt{-39}) \)	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2^{2}\cdot 3^{2}$	$N(\mathrm{U}(1))$	\(q-\beta _{1}q^{2}+(8-\beta _{2})q^{4}+(2\beta _{1}-\beta _{3})q^{5}+\cdots\)
1521.4.a.bl	$1521$	$4$	1521.a	1.a	$1$	$12$	$12$	$89.742$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2^{9}\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q+\beta _{6}q^{2}+(3+\beta _{2})q^{4}+(-\beta _{6}+\beta _{8}+\cdots)q^{5}+\cdots\)
1521.4.a.bm	$1521$	$4$	1521.a	1.a	$1$	$18$	$18$	$89.742$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-94\)		$+$	$-$	$-$	$2^{3}\cdot 7\cdot 13^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(3+\beta _{2})q^{4}+(\beta _{1}-\beta _{14})q^{5}+\cdots\)