Newform search results

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

Results (12 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	7	41
4018.2.a.b	$4018$	$2$	4018.a	1.a	$1$	$1$	$1$	$32.084$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-3\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-3q^{3}+q^{4}+q^{5}+3q^{6}-q^{8}+\cdots\)
4018.2.a.c	$4018$	$2$	4018.a	1.a	$1$	$1$	$1$	$32.084$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-2\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}-2q^{5}+2q^{6}-q^{8}+\cdots\)
4018.2.a.d	$4018$	$2$	4018.a	1.a	$1$	$1$	$1$	$32.084$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-2\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}+2q^{5}+2q^{6}-q^{8}+\cdots\)
4018.2.a.g	$4018$	$2$	4018.a	1.a	$1$	$1$	$1$	$32.084$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(-1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots\)
4018.2.a.h	$4018$	$2$	4018.a	1.a	$1$	$1$	$1$	$32.084$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots\)
4018.2.a.i	$4018$	$2$	4018.a	1.a	$1$	$1$	$1$	$32.084$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(2\)	\(-4\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}+q^{4}-4q^{5}-2q^{6}-q^{8}+\cdots\)
4018.2.a.j	$4018$	$2$	4018.a	1.a	$1$	$1$	$1$	$32.084$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(2\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}+q^{4}+2q^{5}-2q^{6}-q^{8}+\cdots\)
4018.2.a.k	$4018$	$2$	4018.a	1.a	$1$	$1$	$1$	$32.084$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(3\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+3q^{3}+q^{4}+q^{5}-3q^{6}-q^{8}+\cdots\)
4018.2.a.t	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+\beta q^{5}+q^{6}-q^{8}+\cdots\)
4018.2.a.u	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(-2\)	\(-1\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+\beta q^{5}+\beta q^{6}-q^{8}+\cdots\)
4018.2.a.bd	$4018$	$2$	4018.a	1.a	$1$	$3$	$3$	$32.084$	3.3.404.1	None	✓	$1$	$1$	\(-3\)	\(0\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(\beta _{1}-\beta _{2})q^{3}+q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
4018.2.a.bi	$4018$	$2$	4018.a	1.a	$1$	$4$	$4$	$32.084$	4.4.113481.1	None	✓	$1$	$1$	\(-4\)	\(-4\)	\(-3\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+(-1+\beta _{3})q^{5}+q^{6}+\cdots\)