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	5
320.6.a.a	$320$	$6$	320.a	1.a	$1$	$1$	$1$	$51.323$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-26\)	\(25\)	\(22\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-26q^{3}+5^{2}q^{5}+22q^{7}+433q^{9}+\cdots\)
320.6.a.b	$320$	$6$	320.a	1.a	$1$	$1$	$1$	$51.323$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-24\)	\(-25\)	\(-172\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-24q^{3}-5^{2}q^{5}-172q^{7}+333q^{9}+\cdots\)
320.6.a.d	$320$	$6$	320.a	1.a	$1$	$1$	$1$	$51.323$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-18\)	\(25\)	\(-242\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-18q^{3}+5^{2}q^{5}-242q^{7}+3^{4}q^{9}+\cdots\)
320.6.a.h	$320$	$6$	320.a	1.a	$1$	$1$	$1$	$51.323$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(25\)	\(62\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+5^{2}q^{5}+62q^{7}-239q^{9}+\cdots\)
320.6.a.j	$320$	$6$	320.a	1.a	$1$	$1$	$1$	$51.323$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(4\)	\(-25\)	\(192\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{3}-5^{2}q^{5}+192q^{7}-227q^{9}+\cdots\)
320.6.a.k	$320$	$6$	320.a	1.a	$1$	$1$	$1$	$51.323$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(6\)	\(25\)	\(118\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+6q^{3}+5^{2}q^{5}+118q^{7}-207q^{9}+\cdots\)
320.6.a.l	$320$	$6$	320.a	1.a	$1$	$1$	$1$	$51.323$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(8\)	\(-25\)	\(-108\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+8q^{3}-5^{2}q^{5}-108q^{7}-179q^{9}+\cdots\)
320.6.a.n	$320$	$6$	320.a	1.a	$1$	$1$	$1$	$51.323$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(22\)	\(25\)	\(-218\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+22q^{3}+5^{2}q^{5}-218q^{7}+241q^{9}+\cdots\)
320.6.a.r	$320$	$6$	320.a	1.a	$1$	$2$	$2$	$51.323$	\(\Q(\sqrt{70}) \)	None	✓	$1$	$1$	\(0\)	\(-8\)	\(-50\)	\(104\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-4+\beta )q^{3}-5^{2}q^{5}+(52+\beta )q^{7}+\cdots\)
320.6.a.t	$320$	$6$	320.a	1.a	$1$	$2$	$2$	$51.323$	\(\Q(\sqrt{5}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(50\)	\(0\)		$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-3\beta q^{3}+5^{2}q^{5}+31\beta q^{7}-63q^{9}+\cdots\)
320.6.a.u	$320$	$6$	320.a	1.a	$1$	$2$	$2$	$51.323$	\(\Q(\sqrt{85}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(50\)	\(0\)		$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+5^{2}q^{5}-3\beta q^{7}+97q^{9}+26\beta q^{11}+\cdots\)
320.6.a.v	$320$	$6$	320.a	1.a	$1$	$2$	$2$	$51.323$	\(\Q(\sqrt{70}) \)	None	✓	$1$	$1$	\(0\)	\(8\)	\(-50\)	\(-104\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(4+\beta )q^{3}-5^{2}q^{5}+(-52+\beta )q^{7}+\cdots\)
320.6.a.w	$320$	$6$	320.a	1.a	$1$	$2$	$2$	$51.323$	\(\Q(\sqrt{129}) \)	None	✓	$1$	$1$	\(0\)	\(12\)	\(-50\)	\(52\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(6+\beta )q^{3}-5^{2}q^{5}+(26-3\beta )q^{7}+\cdots\)