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	7	23
3381.2.a.a	$3381$	$2$	3381.a	1.a	$1$	$1$	$1$	$26.997$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}-q^{5}+q^{6}+3q^{8}+\cdots\)
3381.2.a.b	$3381$	$2$	3381.a	1.a	$1$	$1$	$1$	$26.997$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(3\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}+3q^{5}+q^{6}+3q^{8}+\cdots\)
3381.2.a.e	$3381$	$2$	3381.a	1.a	$1$	$1$	$1$	$26.997$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}+q^{9}-2q^{11}+2q^{12}+\cdots\)
3381.2.a.f	$3381$	$2$	3381.a	1.a	$1$	$1$	$1$	$26.997$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}+q^{9}+5q^{11}+2q^{12}+\cdots\)
3381.2.a.m	$3381$	$2$	3381.a	1.a	$1$	$1$	$1$	$26.997$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(-1\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-q^{3}+2q^{4}-2q^{6}+q^{9}+q^{11}+\cdots\)
3381.2.a.o	$3381$	$2$	3381.a	1.a	$1$	$2$	$2$	$26.997$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-1\)	\(-2\)	\(-5\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(-3+\beta )q^{5}+\cdots\)
3381.2.a.p	$3381$	$2$	3381.a	1.a	$1$	$2$	$2$	$26.997$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-1\)	\(-2\)	\(5\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(1+\beta )q^{4}+(3-\beta )q^{5}+\cdots\)
3381.2.a.q	$3381$	$2$	3381.a	1.a	$1$	$2$	$2$	$26.997$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(-1\)	\(-2\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(2+\beta )q^{4}+\beta q^{5}+\beta q^{6}+\cdots\)
3381.2.a.y	$3381$	$2$	3381.a	1.a	$1$	$5$	$5$	$26.997$	5.5.3176240.1	None	✓	$1$	$1$	\(1\)	\(-5\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-\beta _{3}q^{5}+\cdots\)