Newform search results

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

Results (9 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	41
2624.2.a.b	$2624$	$2$	2624.a	1.a	$1$	$1$	$1$	$20.953$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(2\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+2q^{5}+q^{9}+6q^{11}+4q^{13}+\cdots\)
2624.2.a.c	$2624$	$2$	2624.a	1.a	$1$	$1$	$1$	$20.953$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(2\)	\(4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+2q^{5}+4q^{7}+q^{9}-2q^{11}+\cdots\)
2624.2.a.e	$2624$	$2$	2624.a	1.a	$1$	$1$	$1$	$20.953$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+2q^{7}-3q^{9}+4q^{13}-2q^{17}+\cdots\)
2624.2.a.h	$2624$	$2$	2624.a	1.a	$1$	$1$	$1$	$20.953$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(2\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+2q^{5}+q^{9}-6q^{11}+4q^{13}+\cdots\)
2624.2.a.l	$2624$	$2$	2624.a	1.a	$1$	$2$	$2$	$20.953$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+2\beta q^{5}+(2+\beta )q^{7}-q^{9}+3\beta q^{11}+\cdots\)
2624.2.a.m	$2624$	$2$	2624.a	1.a	$1$	$2$	$2$	$20.953$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(-2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(-1+\beta )q^{7}+(1+2\beta )q^{9}+\cdots\)
2624.2.a.x	$2624$	$2$	2624.a	1.a	$1$	$4$	$4$	$20.953$	4.4.25088.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(1+\beta _{2})q^{5}+(2\beta _{1}-\beta _{3})q^{7}+\cdots\)
2624.2.a.y	$2624$	$2$	2624.a	1.a	$1$	$4$	$4$	$20.953$	4.4.25808.1	None	✓	$1$	$0$	\(0\)	\(2\)	\(-4\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}+\beta _{2})q^{3}+(-2+\beta _{2}-\beta _{3})q^{5}+\cdots\)
2624.2.a.bb	$2624$	$2$	2624.a	1.a	$1$	$8$	$8$	$20.953$	8.8.\(\cdots\).1	None	✓	$2$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$-$	$+$	$-$	$2^{5}$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{3}-\beta _{5}q^{5}+\beta _{2}q^{7}+(2+\beta _{1}+\cdots)q^{9}+\cdots\)