Newform search results

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

Results (8 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
320.10.a.b	$320$	$10$	320.a	1.a	$1$	$1$	$1$	$164.811$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-174\)	\(625\)	\(4658\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-174q^{3}+5^{4}q^{5}+4658q^{7}+10593q^{9}+\cdots\)
320.10.a.e	$320$	$10$	320.a	1.a	$1$	$1$	$1$	$164.811$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-46\)	\(625\)	\(-10318\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-46q^{3}+5^{4}q^{5}-10318q^{7}-17567q^{9}+\cdots\)
320.10.a.h	$320$	$10$	320.a	1.a	$1$	$1$	$1$	$164.811$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(114\)	\(625\)	\(4242\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+114q^{3}+5^{4}q^{5}+4242q^{7}-6687q^{9}+\cdots\)
320.10.a.n	$320$	$10$	320.a	1.a	$1$	$2$	$2$	$164.811$	\(\Q(\sqrt{46}) \)	None	✓	$1$	$0$	\(0\)	\(-108\)	\(1250\)	\(-908\)		$+$	$-$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-54+\beta )q^{3}+5^{4}q^{5}+(-454-13\beta )q^{7}+\cdots\)
320.10.a.r	$320$	$10$	320.a	1.a	$1$	$2$	$2$	$164.811$	\(\Q(\sqrt{22}) \)	None	✓	$1$	$0$	\(0\)	\(116\)	\(1250\)	\(11284\)		$+$	$-$	$-$	$2^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q+(58+\beta )q^{3}+5^{4}q^{5}+(5642+35\beta )q^{7}+\cdots\)
320.10.a.t	$320$	$10$	320.a	1.a	$1$	$2$	$2$	$164.811$	\(\Q(\sqrt{79}) \)	None	✓	$1$	$0$	\(0\)	\(260\)	\(1250\)	\(-380\)		$+$	$-$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+(130+\beta )q^{3}+5^{4}q^{5}+(-190-69\beta )q^{7}+\cdots\)
320.10.a.bb	$320$	$10$	320.a	1.a	$1$	$5$	$5$	$164.811$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-14\)	\(3125\)	\(-3410\)		$+$	$-$	$-$	$2^{23}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q+(-3+\beta _{1})q^{3}+5^{4}q^{5}+(-683+3\beta _{1}+\cdots)q^{7}+\cdots\)
320.10.a.bc	$320$	$10$	320.a	1.a	$1$	$5$	$5$	$164.811$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(14\)	\(3125\)	\(3410\)		$+$	$-$	$-$	$2^{23}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q+(3-\beta _{1})q^{3}+5^{4}q^{5}+(683-3\beta _{1}+\cdots)q^{7}+\cdots\)