Newform search results

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

Results (15 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	11
1815.2.a.a	$1815$	$2$	1815.a	1.a	$1$	$1$	$1$	$14.493$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(-1\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}-q^{5}-q^{6}-2q^{7}+\cdots\)
1815.2.a.e	$1815$	$2$	1815.a	1.a	$1$	$1$	$1$	$14.493$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(-1\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}+2q^{7}+\cdots\)
1815.2.a.f	$1815$	$2$	1815.a	1.a	$1$	$2$	$2$	$14.493$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-1\)	\(-2\)	\(-2\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}-q^{5}+\beta q^{6}+\cdots\)
1815.2.a.j	$1815$	$2$	1815.a	1.a	$1$	$2$	$2$	$14.493$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(1\)	\(-2\)	\(-2\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-q^{5}-\beta q^{6}+\cdots\)
1815.2.a.k	$1815$	$2$	1815.a	1.a	$1$	$2$	$2$	$14.493$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(-2\)	\(-2\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}-q^{3}+(1+2\beta )q^{4}-q^{5}+\cdots\)
1815.2.a.l	$1815$	$2$	1815.a	1.a	$1$	$3$	$3$	$14.493$	3.3.469.1	None	✓	$1$	$0$	\(-1\)	\(3\)	\(3\)	\(-3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)
1815.2.a.m	$1815$	$2$	1815.a	1.a	$1$	$3$	$3$	$14.493$	3.3.148.1	None	✓	$1$	$0$	\(1\)	\(3\)	\(3\)	\(0\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots\)
1815.2.a.n	$1815$	$2$	1815.a	1.a	$1$	$3$	$3$	$14.493$	3.3.469.1	None	✓	$1$	$0$	\(1\)	\(3\)	\(3\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
1815.2.a.r	$1815$	$2$	1815.a	1.a	$1$	$4$	$4$	$14.493$	4.4.5725.1	None	✓	$1$	$0$	\(-1\)	\(-4\)	\(-4\)	\(8\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}-\beta _{2})q^{2}-q^{3}+(3-\beta _{2}-\beta _{3})q^{4}+\cdots\)
1815.2.a.s	$1815$	$2$	1815.a	1.a	$1$	$4$	$4$	$14.493$	4.4.8112.1	None	✓	$2$	$0$	\(0\)	\(-4\)	\(4\)	\(0\)		$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}-q^{3}+(2-\beta _{3})q^{4}+q^{5}+\beta _{2}q^{6}+\cdots\)
1815.2.a.t	$1815$	$2$	1815.a	1.a	$1$	$4$	$4$	$14.493$	\(\Q(\sqrt{3}, \sqrt{7})\)	None	✓	$2$	$0$	\(0\)	\(4\)	\(-4\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{2}+q^{3}-\beta _{2}q^{4}-q^{5}+\beta _{3}q^{6}+\cdots\)
1815.2.a.u	$1815$	$2$	1815.a	1.a	$1$	$4$	$4$	$14.493$	\(\Q(\zeta_{15})^+\)	None	✓	$1$	$0$	\(1\)	\(-4\)	\(4\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{2}-\beta _{3})q^{2}-q^{3}+\beta _{1}q^{4}+q^{5}+\cdots\)
1815.2.a.w	$1815$	$2$	1815.a	1.a	$1$	$4$	$4$	$14.493$	4.4.725.1	None	✓	$1$	$0$	\(3\)	\(4\)	\(4\)	\(6\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+q^{3}+(-\beta _{1}+\beta _{2})q^{4}+\cdots\)
1815.2.a.x	$1815$	$2$	1815.a	1.a	$1$	$4$	$4$	$14.493$	4.4.725.1	None	✓	$1$	$0$	\(5\)	\(4\)	\(-4\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(2-\beta _{1}-\beta _{2})q^{2}+q^{3}+(3-\beta _{1}-2\beta _{2}+\cdots)q^{4}+\cdots\)
1815.2.a.y	$1815$	$2$	1815.a	1.a	$1$	$6$	$6$	$14.493$	6.6.437199552.1	None	✓	$2$	$0$	\(0\)	\(-6\)	\(6\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)