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	11	13
5577.2.a.a	$5577$	$2$	5577.a	1.a	$1$	$1$	$1$	$44.533$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(2\)	\(-4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}+2q^{5}+q^{6}-4q^{7}+\cdots\)
5577.2.a.c	$5577$	$2$	5577.a	1.a	$1$	$1$	$1$	$44.533$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-2\)	\(3\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}-2q^{5}+3q^{7}+q^{9}-q^{11}+\cdots\)
5577.2.a.e	$5577$	$2$	5577.a	1.a	$1$	$1$	$1$	$44.533$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(2\)	\(1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}+2q^{5}+q^{7}+q^{9}-q^{11}+\cdots\)
5577.2.a.f	$5577$	$2$	5577.a	1.a	$1$	$1$	$1$	$44.533$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}-q^{6}-3q^{8}+q^{9}+\cdots\)
5577.2.a.l	$5577$	$2$	5577.a	1.a	$1$	$3$	$3$	$44.533$	3.3.564.1	None	✓	$1$	$1$	\(1\)	\(-3\)	\(2\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots\)
5577.2.a.o	$5577$	$2$	5577.a	1.a	$1$	$5$	$5$	$44.533$	5.5.863825.1	None	✓	$1$	$1$	\(-2\)	\(-5\)	\(2\)	\(-9\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
5577.2.a.s	$5577$	$2$	5577.a	1.a	$1$	$5$	$5$	$44.533$	5.5.1019601.1	None	✓	$1$	$1$	\(0\)	\(-5\)	\(2\)	\(-7\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2}+\beta _{3})q^{4}-\beta _{3}q^{5}+\cdots\)
5577.2.a.ba	$5577$	$2$	5577.a	1.a	$1$	$12$	$12$	$44.533$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(-12\)	\(6\)	\(1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}+(\beta _{2}+\beta _{6}+\beta _{9}+\cdots)q^{5}+\cdots\)