Newform search results

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

Results (11 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	503
8048.2.a.a	$8048$	$2$	8048.a	1.a	$1$	$1$	$1$	$64.264$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-3\)	\(-2\)	\(-3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-2q^{5}-3q^{7}+6q^{9}-3q^{11}+\cdots\)
8048.2.a.b	$8048$	$2$	8048.a	1.a	$1$	$1$	$1$	$64.264$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-1\)	\(-4\)	\(-1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-4q^{5}-q^{7}-2q^{9}+3q^{11}+\cdots\)
8048.2.a.c	$8048$	$2$	8048.a	1.a	$1$	$1$	$1$	$64.264$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-1\)	\(-4\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-4q^{5}+3q^{7}-2q^{9}-5q^{11}+\cdots\)
8048.2.a.f	$8048$	$2$	8048.a	1.a	$1$	$1$	$1$	$64.264$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{9}-4q^{11}+2q^{13}-2q^{17}+2q^{19}+\cdots\)
8048.2.a.g	$8048$	$2$	8048.a	1.a	$1$	$1$	$1$	$64.264$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(-1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{7}-2q^{9}+5q^{11}-5q^{13}+\cdots\)
8048.2.a.k	$8048$	$2$	8048.a	1.a	$1$	$1$	$1$	$64.264$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+3q^{7}+6q^{9}-q^{11}+5q^{13}+\cdots\)
8048.2.a.m	$8048$	$2$	8048.a	1.a	$1$	$3$	$3$	$64.264$	3.3.257.1	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(-1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-\beta _{1}+\beta _{2})q^{7}+\beta _{2}q^{9}+\cdots\)
8048.2.a.o	$8048$	$2$	8048.a	1.a	$1$	$5$	$5$	$64.264$	5.5.205225.1	None	✓	$1$	$0$	\(0\)	\(4\)	\(-3\)	\(9\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(-1-\beta _{1}-\beta _{3}-\beta _{4})q^{5}+\cdots\)
8048.2.a.r	$8048$	$2$	8048.a	1.a	$1$	$12$	$12$	$64.264$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(7\)	\(2\)		$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{4}q^{3}+(\beta _{7}-\beta _{10})q^{5}+(-\beta _{2}+\beta _{6}+\cdots)q^{7}+\cdots\)
8048.2.a.t	$8048$	$2$	8048.a	1.a	$1$	$21$	$21$	$64.264$		None	✓	$1$	$0$	\(0\)	\(10\)	\(-3\)	\(15\)		$-$	$+$	$-$		$\mathrm{SU}(2)$
8048.2.a.u	$8048$	$2$	8048.a	1.a	$1$	$26$	$26$	$64.264$		None	✓	$1$	$0$	\(0\)	\(-4\)	\(9\)	\(-11\)		$-$	$+$	$-$		$\mathrm{SU}(2)$