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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7	13
5733.2.a.c	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+3q^{8}+3q^{11}-q^{13}+\cdots\)
5733.2.a.i	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-4\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-4q^{5}-3q^{8}-4q^{10}+\cdots\)
5733.2.a.q	$5733$	$2$	5733.a	1.a	$1$	$2$	$2$	$45.778$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-q^{5}-2\beta q^{8}-\beta q^{10}+2q^{11}+\cdots\)
5733.2.a.v	$5733$	$2$	5733.a	1.a	$1$	$2$	$2$	$45.778$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(3\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+3\beta q^{4}+(1-2\beta )q^{5}+(1+\cdots)q^{8}+\cdots\)
5733.2.a.bj	$5733$	$2$	5733.a	1.a	$1$	$4$	$4$	$45.778$	4.4.69777.1	None	✓	$1$	$0$	\(1\)	\(0\)	\(-3\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-1+\beta _{1})q^{5}+\cdots\)
5733.2.a.bq	$5733$	$2$	5733.a	1.a	$1$	$5$	$5$	$45.778$	5.5.375116.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(0\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{2}+(1-\beta _{4})q^{4}+(1-\beta _{2})q^{5}+\cdots\)
5733.2.a.bu	$5733$	$2$	5733.a	1.a	$1$	$6$	$6$	$45.778$	6.6.4507648.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(6\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+(1-\beta _{1}-\beta _{3}+\beta _{4})q^{4}+(1+\cdots)q^{5}+\cdots\)
5733.2.a.bx	$5733$	$2$	5733.a	1.a	$1$	$10$	$10$	$45.778$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(-4\)	\(0\)	\(6\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(1+\beta _{5})q^{5}+\cdots\)