Newform search results

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

Results (5 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	5	11
1815.4.a.j	$1815$	$4$	1815.a	1.a	$1$	$2$	$2$	$107.088$	\(\Q(\sqrt{5}) \)	None	✓	$2$	$1$	\(0\)	\(6\)	\(-10\)	\(0\)		$-$	$+$	$+$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+3q^{3}-8q^{4}-5q^{5}+\beta q^{7}+9q^{9}+\cdots\)
1815.4.a.k	$1815$	$4$	1815.a	1.a	$1$	$2$	$2$	$107.088$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(6\)	\(-10\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2\beta q^{2}+3q^{3}+4q^{4}-5q^{5}+6\beta q^{6}+\cdots\)
1815.4.a.m	$1815$	$4$	1815.a	1.a	$1$	$2$	$2$	$107.088$	\(\Q(\sqrt{15}) \)	None	✓	$2$	$1$	\(0\)	\(6\)	\(-10\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+3q^{3}+7q^{4}-5q^{5}+3\beta q^{6}+\cdots\)
1815.4.a.be	$1815$	$4$	1815.a	1.a	$1$	$8$	$8$	$107.088$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(24\)	\(-40\)	\(0\)		$-$	$+$	$+$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+3q^{3}+(6+\beta _{4})q^{4}-5q^{5}+\cdots\)
1815.4.a.bg	$1815$	$4$	1815.a	1.a	$1$	$12$	$12$	$107.088$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-9\)	\(36\)	\(-60\)	\(-21\)		$-$	$+$	$+$	$-$	$5\cdot 11^{2}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+3q^{3}+(5-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)