Newform search results

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

Results (14 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.a	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+q^{5}-2q^{10}+2q^{11}+\cdots\)
5733.2.a.d	$5733$	$2$	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.h	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+q^{5}+2q^{11}+q^{13}+4q^{16}+\cdots\)
5733.2.a.k	$5733$	$2$	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.l	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(-3\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-3q^{5}-6q^{10}+6q^{11}+\cdots\)
5733.2.a.n	$5733$	$2$	5733.a	1.a	$1$	$2$	$2$	$45.778$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+(-3+\beta )q^{8}+\cdots\)
5733.2.a.s	$5733$	$2$	5733.a	1.a	$1$	$2$	$2$	$45.778$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(6\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(3-\beta )q^{5}-2\beta q^{8}+(-2+3\beta )q^{10}+\cdots\)
5733.2.a.u	$5733$	$2$	5733.a	1.a	$1$	$2$	$2$	$45.778$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(1+2\beta )q^{4}+2\beta q^{5}+(3+\cdots)q^{8}+\cdots\)
5733.2.a.w	$5733$	$2$	5733.a	1.a	$1$	$2$	$2$	$45.778$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(3\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+3\beta q^{4}+(-1+2\beta )q^{5}+\cdots\)
5733.2.a.bc	$5733$	$2$	5733.a	1.a	$1$	$3$	$3$	$45.778$	3.3.316.1	None	✓	$1$	$0$	\(2\)	\(0\)	\(-3\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(2-2\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
5733.2.a.be	$5733$	$2$	5733.a	1.a	$1$	$3$	$3$	$45.778$	3.3.404.1	None	✓	$1$	$0$	\(2\)	\(0\)	\(5\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(2+\cdots)q^{5}+\cdots\)
5733.2.a.bk	$5733$	$2$	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.bn	$5733$	$2$	5733.a	1.a	$1$	$5$	$5$	$45.778$	5.5.2196544.1	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-3\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{4})q^{5}+\cdots\)
5733.2.a.bp	$5733$	$2$	5733.a	1.a	$1$	$5$	$5$	$45.778$	5.5.375116.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(0\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{2}+(1-\beta _{4})q^{4}+(-1+\beta _{2})q^{5}+\cdots\)