Newform search results

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

Results (11 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	7	11	13
2002.2.a.a	$2002$	$2$	2002.a	1.a	$1$	$1$	$1$	$15.986$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(2\)	\(-1\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+2q^{5}-q^{7}-q^{8}-3q^{9}+\cdots\)
2002.2.a.b	$2002$	$2$	2002.a	1.a	$1$	$1$	$1$	$15.986$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(2\)	\(1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-3q^{9}+\cdots\)
2002.2.a.c	$2002$	$2$	2002.a	1.a	$1$	$1$	$1$	$15.986$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(4\)	\(1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+4q^{5}+q^{7}+q^{8}-3q^{9}+\cdots\)
2002.2.a.d	$2002$	$2$	2002.a	1.a	$1$	$2$	$2$	$15.986$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-2\)	\(-1\)	\(-1\)	\(-2\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+(-1+\beta )q^{5}+\beta q^{6}+\cdots\)
2002.2.a.e	$2002$	$2$	2002.a	1.a	$1$	$2$	$2$	$15.986$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(-2\)	\(1\)	\(-1\)	\(2\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}+(-1+\beta )q^{5}-\beta q^{6}+\cdots\)
2002.2.a.i	$2002$	$2$	2002.a	1.a	$1$	$3$	$3$	$15.986$	3.3.469.1	None	✓	$1$	$0$	\(-3\)	\(1\)	\(5\)	\(3\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+(2+\beta _{2})q^{5}-\beta _{1}q^{6}+\cdots\)
2002.2.a.j	$2002$	$2$	2002.a	1.a	$1$	$3$	$3$	$15.986$	3.3.733.1	None	✓	$1$	$0$	\(-3\)	\(3\)	\(-1\)	\(-3\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1+\beta _{2})q^{3}+q^{4}-\beta _{1}q^{5}+(-1+\cdots)q^{6}+\cdots\)
2002.2.a.p	$2002$	$2$	2002.a	1.a	$1$	$5$	$5$	$15.986$	5.5.9353072.1	None	✓	$1$	$0$	\(5\)	\(0\)	\(4\)	\(-5\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+(1+\beta _{2})q^{5}+\beta _{1}q^{6}+\cdots\)
2002.2.a.q	$2002$	$2$	2002.a	1.a	$1$	$5$	$5$	$15.986$	5.5.3430384.1	None	✓	$1$	$0$	\(5\)	\(4\)	\(2\)	\(5\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1-\beta _{4})q^{3}+q^{4}+\beta _{1}q^{5}+(1+\cdots)q^{6}+\cdots\)
2002.2.a.r	$2002$	$2$	2002.a	1.a	$1$	$5$	$5$	$15.986$	5.5.1590832.1	None	✓	$1$	$0$	\(5\)	\(4\)	\(4\)	\(5\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1+\beta _{3})q^{5}+\cdots\)
2002.2.a.s	$2002$	$2$	2002.a	1.a	$1$	$6$	$6$	$15.986$	6.6.1385718192.1	None	✓	$1$	$0$	\(6\)	\(0\)	\(0\)	\(-6\)		$-$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{4}q^{5}+\beta _{1}q^{6}+\cdots\)