Newform search results

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

Results (7 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	11
7623.2.a.b	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-1\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}-q^{5}+q^{7}+2q^{10}+\cdots\)
7623.2.a.r	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(1\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}+q^{5}+q^{7}+2q^{10}+\cdots\)
7623.2.a.bd	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(2\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(1+\beta )q^{4}+q^{5}+q^{7}-3q^{8}+\cdots\)
7623.2.a.bh	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	\(\Q(\sqrt{13}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-2q^{4}-\beta q^{5}+q^{7}-2q^{13}+4q^{16}+\cdots\)
7623.2.a.br	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-2\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1+\beta )q^{4}-q^{5}+q^{7}+3q^{8}+\cdots\)
7623.2.a.ck	$7623$	$2$	7623.a	1.a	$1$	$4$	$4$	$60.870$	\(\Q(\sqrt{2}, \sqrt{7})\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(4\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{3}q^{5}+q^{7}-2\beta _{1}q^{8}-\beta _{2}q^{10}+\cdots\)
7623.2.a.cv	$7623$	$2$	7623.a	1.a	$1$	$8$	$8$	$60.870$	8.8.6988960000.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(8\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(-\beta _{1}-\beta _{7})q^{5}+\cdots\)