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	Twist minimal	Largest	Maximal	Minimal twist	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	13
5200.2.a.a	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				2600.2.a.a	$1$	$0$	\(0\)	\(-3\)	\(0\)	\(-2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-2q^{7}+6q^{9}+2q^{11}-q^{13}+\cdots\)
5200.2.a.u	$5200$	$2$	5200.a	1.a	$1$	$1$	$1$	$41.522$	\(\Q\)	None	✓				520.2.d.a	$1$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{7}-3q^{9}+2q^{11}-q^{13}-4q^{17}+\cdots\)
5200.2.a.bq	$5200$	$2$	5200.a	1.a	$1$	$2$	$2$	$41.522$	\(\Q(\sqrt{10}) \)	None	✓				2600.2.a.r	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{7}-3q^{9}+(-3-\beta )q^{11}+\cdots\)
5200.2.a.cc	$5200$	$2$	5200.a	1.a	$1$	$3$	$3$	$41.522$	3.3.148.1	None	✓				520.2.d.b	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(1-\beta _{1}+\beta _{2})q^{7}+\cdots\)
5200.2.a.cl	$5200$	$2$	5200.a	1.a	$1$	$4$	$4$	$41.522$	4.4.108664.1	None	✓				2600.2.a.z	$1$	$0$	\(0\)	\(2\)	\(0\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(1-\beta _{3})q^{7}+(1-\beta _{2})q^{9}+\cdots\)
5200.2.a.cn	$5200$	$2$	5200.a	1.a	$1$	$5$	$5$	$41.522$	5.5.10592240.1	None	✓		✓		520.2.d.c	$1$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(\beta _{2}+\beta _{3})q^{7}+(3+\beta _{2}+\beta _{3}+\cdots)q^{9}+\cdots\)