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	7
525.4.a.a	$525$	$4$	525.a	1.a	$1$	$1$	$1$	$30.976$	\(\Q\)	None	✓	$1$	$1$	\(-5\)	\(3\)	\(0\)	\(-7\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{2}+3q^{3}+17q^{4}-15q^{6}-7q^{7}+\cdots\)
525.4.a.d	$525$	$4$	525.a	1.a	$1$	$1$	$1$	$30.976$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(3\)	\(0\)	\(-7\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}-4q^{4}-6q^{6}-7q^{7}+\cdots\)
525.4.a.e	$525$	$4$	525.a	1.a	$1$	$1$	$1$	$30.976$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(-7\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-8q^{4}-7q^{7}+9q^{9}+42q^{11}+\cdots\)
525.4.a.g	$525$	$4$	525.a	1.a	$1$	$1$	$1$	$30.976$	\(\Q\)	None	✓	$1$	$1$	\(3\)	\(3\)	\(0\)	\(-7\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}+3q^{3}+q^{4}+9q^{6}-7q^{7}+\cdots\)
525.4.a.h	$525$	$4$	525.a	1.a	$1$	$1$	$1$	$30.976$	\(\Q\)	None	✓	$1$	$1$	\(3\)	\(3\)	\(0\)	\(-7\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}+3q^{3}+q^{4}+9q^{6}-7q^{7}+\cdots\)