Newform search results

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

Results (13 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	29
1682.2.a.b	$1682$	$2$	1682.a	1.a	$1$	$1$	$1$	$13.431$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-2\)	\(0\)	\(-1\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{7}-q^{8}+\cdots\)
1682.2.a.c	$1682$	$2$	1682.a	1.a	$1$	$1$	$1$	$13.431$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(-1\)	\(-2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-2q^{7}+\cdots\)
1682.2.a.e	$1682$	$2$	1682.a	1.a	$1$	$1$	$1$	$13.431$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(3\)	\(0\)	\(4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+3q^{3}+q^{4}-3q^{6}+4q^{7}-q^{8}+\cdots\)
1682.2.a.f	$1682$	$2$	1682.a	1.a	$1$	$1$	$1$	$13.431$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-3\)	\(0\)	\(4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-3q^{3}+q^{4}-3q^{6}+4q^{7}+q^{8}+\cdots\)
1682.2.a.i	$1682$	$2$	1682.a	1.a	$1$	$1$	$1$	$13.431$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(2\)	\(0\)	\(-1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}+2q^{6}-q^{7}+q^{8}+\cdots\)
1682.2.a.j	$1682$	$2$	1682.a	1.a	$1$	$1$	$1$	$13.431$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(3\)	\(-3\)	\(-2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+3q^{3}+q^{4}-3q^{5}+3q^{6}-2q^{7}+\cdots\)
1682.2.a.k	$1682$	$2$	1682.a	1.a	$1$	$2$	$2$	$13.431$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-2\)	\(-1\)	\(4\)	\(6\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+2q^{5}+\beta q^{6}+(4+\cdots)q^{7}+\cdots\)
1682.2.a.l	$1682$	$2$	1682.a	1.a	$1$	$2$	$2$	$13.431$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(2\)	\(1\)	\(4\)	\(6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}+2q^{5}+\beta q^{6}+(4+\cdots)q^{7}+\cdots\)
1682.2.a.n	$1682$	$2$	1682.a	1.a	$1$	$3$	$3$	$13.431$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(3\)	\(2\)	\(5\)	\(1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+(2+\beta _{2})q^{5}+\cdots\)
1682.2.a.r	$1682$	$2$	1682.a	1.a	$1$	$6$	$6$	$13.431$	\(\Q(\zeta_{28})^+\)	None	✓	$1$	$0$	\(-6\)	\(8\)	\(-6\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1+\beta _{4})q^{3}+q^{4}+(-1-\beta _{1}+\cdots)q^{5}+\cdots\)
1682.2.a.t	$1682$	$2$	1682.a	1.a	$1$	$6$	$6$	$13.431$	6.6.13716913.1	None	✓	$1$	$0$	\(6\)	\(2\)	\(0\)	\(-3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+(-1+\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
1682.2.a.u	$1682$	$2$	1682.a	1.a	$1$	$8$	$8$	$13.431$	8.8.\(\cdots\).1	None	✓	$1$	$0$	\(-8\)	\(-1\)	\(5\)	\(7\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+(1-\beta _{1}-\beta _{4}+\cdots)q^{5}+\cdots\)
1682.2.a.v	$1682$	$2$	1682.a	1.a	$1$	$8$	$8$	$13.431$	8.8.\(\cdots\).1	None	✓	$1$	$0$	\(8\)	\(1\)	\(5\)	\(7\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+(1-\beta _{1}-\beta _{4}+\cdots)q^{5}+\cdots\)