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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	29
464.4.a.c	$464$	$4$	464.a	1.a	$1$	$2$	$2$	$27.377$	\(\Q(\sqrt{22}) \)	None	✓	$1$	$0$	\(0\)	\(-10\)	\(30\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-5+\beta )q^{3}+15q^{5}-2\beta q^{7}+(20+\cdots)q^{9}+\cdots\)
464.4.a.e	$464$	$4$	464.a	1.a	$1$	$2$	$2$	$27.377$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(-10\)	\(16\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(-5+6\beta )q^{5}+(8+8\beta )q^{7}+\cdots\)
464.4.a.f	$464$	$4$	464.a	1.a	$1$	$2$	$2$	$27.377$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(10\)	\(-10\)	\(16\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(5+3\beta )q^{3}+(-5+4\beta )q^{5}+(8-10\beta )q^{7}+\cdots\)
464.4.a.i	$464$	$4$	464.a	1.a	$1$	$3$	$3$	$27.377$	3.3.19816.1	None	✓	$1$	$0$	\(0\)	\(-2\)	\(20\)	\(-24\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(6+2\beta _{1}+\beta _{2})q^{5}+\cdots\)
464.4.a.j	$464$	$4$	464.a	1.a	$1$	$3$	$3$	$27.377$	3.3.148344.1	None	✓	$1$	$0$	\(0\)	\(10\)	\(-20\)	\(-8\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(3+\beta _{1})q^{3}+(-7+\beta _{2})q^{5}+(-4+\cdots)q^{7}+\cdots\)