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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5
400.4.a.b	$400$	$4$	400.a	1.a	$1$	$1$	$1$	$23.601$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-8\)	\(0\)	\(-4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-8q^{3}-4q^{7}+37q^{9}-12q^{11}+58q^{13}+\cdots\)
400.4.a.c	$400$	$4$	400.a	1.a	$1$	$1$	$1$	$23.601$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-7\)	\(0\)	\(-6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-7q^{3}-6q^{7}+22q^{9}+43q^{11}-28q^{13}+\cdots\)
400.4.a.l	$400$	$4$	400.a	1.a	$1$	$1$	$1$	$23.601$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(26\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+26q^{7}-26q^{9}-45q^{11}-44q^{13}+\cdots\)
400.4.a.m	$400$	$4$	400.a	1.a	$1$	$1$	$1$	$23.601$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+6q^{7}-23q^{9}-2^{5}q^{11}+38q^{13}+\cdots\)
400.4.a.o	$400$	$4$	400.a	1.a	$1$	$1$	$1$	$23.601$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(4\)	\(0\)	\(-16\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{3}-2^{4}q^{7}-11q^{9}+60q^{11}+\cdots\)
400.4.a.r	$400$	$4$	400.a	1.a	$1$	$1$	$1$	$23.601$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(7\)	\(0\)	\(-34\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+7q^{3}-34q^{7}+22q^{9}-3^{3}q^{11}+\cdots\)