Newform search results

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

Results (11 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		7	17
2023.4.a.c	$2023$	$4$	2023.a	1.a	$1$	$1$	$1$	$119.361$	\(\Q\)	None	✓	$1$	$0$	\(3\)	\(-1\)	\(6\)	\(-7\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}-q^{3}+q^{4}+6q^{5}-3q^{6}-7q^{7}+\cdots\)
2023.4.a.d	$2023$	$4$	2023.a	1.a	$1$	$1$	$1$	$119.361$	\(\Q\)	None	✓	$1$	$0$	\(3\)	\(1\)	\(-6\)	\(7\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}+q^{3}+q^{4}-6q^{5}+3q^{6}+7q^{7}+\cdots\)
2023.4.a.f	$2023$	$4$	2023.a	1.a	$1$	$4$	$4$	$119.361$	4.4.68557.1	None	✓	$1$	$0$	\(-2\)	\(7\)	\(9\)	\(-28\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{2}+(2+\beta _{1}+\beta _{3})q^{3}+\cdots\)
2023.4.a.h	$2023$	$4$	2023.a	1.a	$1$	$9$	$9$	$119.361$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(-11\)	\(3\)	\(-63\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-1-\beta _{5})q^{3}+(4+\beta _{2})q^{4}+\cdots\)
2023.4.a.k	$2023$	$4$	2023.a	1.a	$1$	$12$	$12$	$119.361$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(-3\)	\(12\)	\(84\)		$-$	$-$	$+$	$2^{6}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{4}q^{3}+(5+\beta _{1}+\beta _{2})q^{4}+\cdots\)
2023.4.a.l	$2023$	$4$	2023.a	1.a	$1$	$12$	$12$	$119.361$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(3\)	\(-12\)	\(-84\)		$+$	$+$	$+$	$2^{6}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{4}q^{3}+(5+\beta _{1}+\beta _{2})q^{4}+\cdots\)
2023.4.a.n	$2023$	$4$	2023.a	1.a	$1$	$13$	$13$	$119.361$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(14\)	\(20\)	\(-91\)		$+$	$+$	$+$	$2^{7}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{6})q^{3}+(5+\beta _{2})q^{4}+\cdots\)
2023.4.a.p	$2023$	$4$	2023.a	1.a	$1$	$26$	$26$	$119.361$		None	✓	$1$	$0$	\(-8\)	\(12\)	\(40\)	\(-182\)		$+$	$+$	$+$		$\mathrm{SU}(2)$
2023.4.a.s	$2023$	$4$	2023.a	1.a	$1$	$39$	$39$	$119.361$		None	✓	$1$	$0$	\(12\)	\(0\)	\(0\)	\(273\)		$-$	$-$	$+$		$\mathrm{SU}(2)$
2023.4.a.t	$2023$	$4$	2023.a	1.a	$1$	$39$	$39$	$119.361$		None	✓	$1$	$0$	\(12\)	\(0\)	\(0\)	\(-273\)		$+$	$+$	$+$		$\mathrm{SU}(2)$
2023.4.a.v	$2023$	$4$	2023.a	1.a	$1$	$56$	$56$	$119.361$		None	✓	$1$	$0$	\(8\)	\(24\)	\(80\)	\(392\)		$-$	$-$	$+$		$\mathrm{SU}(2)$