Newform search results

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

Results (7 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.a	$320$	$10$	320.a	1.a	$1$	$1$	$1$	$164.811$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-204\)	\(-625\)	\(-5432\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-204q^{3}-5^{4}q^{5}-5432q^{7}+21933q^{9}+\cdots\)
320.10.a.d	$320$	$10$	320.a	1.a	$1$	$1$	$1$	$164.811$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-48\)	\(-625\)	\(532\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-48q^{3}-5^{4}q^{5}+532q^{7}-17379q^{9}+\cdots\)
320.10.a.o	$320$	$10$	320.a	1.a	$1$	$2$	$2$	$164.811$	\(\Q(\sqrt{6049}) \)	None	✓	$1$	$0$	\(0\)	\(-92\)	\(-1250\)	\(6908\)		$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-46-\beta )q^{3}-5^{4}q^{5}+(3454-37\beta )q^{7}+\cdots\)
320.10.a.s	$320$	$10$	320.a	1.a	$1$	$2$	$2$	$164.811$	\(\Q(\sqrt{1009}) \)	None	✓	$1$	$0$	\(0\)	\(260\)	\(-1250\)	\(-1700\)		$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(130-\beta )q^{3}-5^{4}q^{5}+(-850+107\beta )q^{7}+\cdots\)
320.10.a.v	$320$	$10$	320.a	1.a	$1$	$3$	$3$	$164.811$	3.3.7117.1	None	✓	$1$	$0$	\(0\)	\(84\)	\(-1875\)	\(5520\)		$-$	$+$	$-$	$2^{9}\cdot 3^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q+(28+\beta _{1})q^{3}-5^{4}q^{5}+(1840-17\beta _{1}+\cdots)q^{7}+\cdots\)
320.10.a.x	$320$	$10$	320.a	1.a	$1$	$4$	$4$	$164.811$	\(\Q(\sqrt{7}, \sqrt{418})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-2500\)	\(0\)		$-$	$+$	$-$	$2^{11}\cdot 5\cdot 13$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-5^{4}q^{5}+(8\beta _{1}-9\beta _{2})q^{7}+\cdots\)
320.10.a.bd	$320$	$10$	320.a	1.a	$1$	$6$	$6$	$164.811$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-3750\)	\(0\)		$-$	$+$	$-$	$2^{33}\cdot 3^{2}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-5^{4}q^{5}+(-3\beta _{1}+\beta _{2})q^{7}+\cdots\)