Newform search results

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

Results (9 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	5	19
4275.2.a.c	$4275$	$2$	4275.a	1.a	$1$	$1$	$1$	$34.136$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}-4q^{7}+3q^{8}-3q^{11}+\cdots\)
4275.2.a.h	$4275$	$2$	4275.a	1.a	$1$	$1$	$1$	$34.136$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+2q^{7}+3q^{8}+6q^{11}+\cdots\)
4275.2.a.i	$4275$	$2$	4275.a	1.a	$1$	$1$	$1$	$34.136$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+q^{7}-3q^{11}+4q^{13}+4q^{16}+\cdots\)
4275.2.a.r	$4275$	$2$	4275.a	1.a	$1$	$2$	$2$	$34.136$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(-1+\beta )q^{4}+(-1-2\beta )q^{7}+\cdots\)
4275.2.a.t	$4275$	$2$	4275.a	1.a	$1$	$2$	$2$	$34.136$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{4}+(1-\beta )q^{7}-\beta q^{8}+(-3+\cdots)q^{11}+\cdots\)
4275.2.a.x	$4275$	$2$	4275.a	1.a	$1$	$2$	$2$	$34.136$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(1+2\beta )q^{4}+(-2-\beta )q^{7}+\cdots\)
4275.2.a.ba	$4275$	$2$	4275.a	1.a	$1$	$3$	$3$	$34.136$	3.3.169.1	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
4275.2.a.be	$4275$	$2$	4275.a	1.a	$1$	$3$	$3$	$34.136$	3.3.621.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{1}+\beta _{2})q^{4}-\beta _{2}q^{7}+\cdots\)
4275.2.a.bo	$4275$	$2$	4275.a	1.a	$1$	$4$	$4$	$34.136$	4.4.11344.1	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+(1+\beta _{1}-\beta _{2})q^{4}+(-2+2\beta _{1}+\cdots)q^{7}+\cdots\)