Newform search results

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

Results (7 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	3	5
8100.2.a.g	$8100$	$2$	8100.a	1.a	$1$	$1$	$1$	$64.679$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{7}-3q^{11}+q^{13}+6q^{17}-4q^{19}+\cdots\)
8100.2.a.h	$8100$	$2$	8100.a	1.a	$1$	$1$	$1$	$64.679$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{7}+4q^{13}-6q^{17}+2q^{19}-3q^{23}+\cdots\)
8100.2.a.s	$8100$	$2$	8100.a	1.a	$1$	$2$	$2$	$64.679$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{7}-\beta q^{11}+(-2-2\beta )q^{13}+\cdots\)
8100.2.a.t	$8100$	$2$	8100.a	1.a	$1$	$2$	$2$	$64.679$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{7}+\beta q^{11}+(-2-2\beta )q^{13}+\cdots\)
8100.2.a.u	$8100$	$2$	8100.a	1.a	$1$	$3$	$3$	$64.679$	3.3.564.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-3\)		$-$	$-$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{7}+\beta _{2}q^{11}+(-2-\beta _{2})q^{13}+\cdots\)
8100.2.a.w	$8100$	$2$	8100.a	1.a	$1$	$4$	$4$	$64.679$	\(\Q(\sqrt{3}, \sqrt{7})\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{7}-\beta _{3}q^{11}+\beta _{2}q^{13}+(-\beta _{1}+\cdots)q^{17}+\cdots\)
8100.2.a.ba	$8100$	$2$	8100.a	1.a	$1$	$4$	$4$	$64.679$	4.4.3981.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$+$	$+$	$3^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{7}+(1+\beta _{2})q^{11}+\beta _{1}q^{13}+(-2+\cdots)q^{17}+\cdots\)