Newform search results

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

Results (10 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.bb	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(4\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(-1+\beta )q^{4}+(1+2\beta )q^{5}+\cdots\)
7623.2.a.bn	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(-1+\beta )q^{4}+(-1+2\beta )q^{5}+\cdots\)
7623.2.a.bo	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(1\)	\(0\)	\(1\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(-1+\beta )q^{4}+(1-\beta )q^{5}-q^{7}+\cdots\)
7623.2.a.ce	$7623$	$2$	7623.a	1.a	$1$	$3$	$3$	$60.870$	3.3.568.1	None	✓	$1$	$0$	\(2\)	\(0\)	\(-1\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(3+\beta _{2})q^{4}+\beta _{2}q^{5}+\cdots\)
7623.2.a.cg	$7623$	$2$	7623.a	1.a	$1$	$4$	$4$	$60.870$	4.4.7488.1	None	✓	$1$	$0$	\(-2\)	\(0\)	\(2\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{2}+(1-\beta _{2})q^{4}+(1+\beta _{3})q^{5}+\cdots\)
7623.2.a.ch	$7623$	$2$	7623.a	1.a	$1$	$4$	$4$	$60.870$	4.4.2525.1	None	✓	$1$	$0$	\(-2\)	\(0\)	\(6\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots\)
7623.2.a.ci	$7623$	$2$	7623.a	1.a	$1$	$4$	$4$	$60.870$	4.4.725.1	None	✓	$1$	$0$	\(-1\)	\(0\)	\(4\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1}+\beta _{2})q^{2}+(\beta _{1}+\beta _{3})q^{4}+\cdots\)
7623.2.a.cm	$7623$	$2$	7623.a	1.a	$1$	$4$	$4$	$60.870$	4.4.7488.1	None	✓	$1$	$0$	\(2\)	\(0\)	\(-6\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{2}+(1-\beta _{2})q^{4}+(-1+\beta _{3})q^{5}+\cdots\)
7623.2.a.cs	$7623$	$2$	7623.a	1.a	$1$	$6$	$6$	$60.870$	6.6.7674048.1	None	✓	$1$	$0$	\(4\)	\(0\)	\(4\)	\(-6\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
7623.2.a.cx	$7623$	$2$	7623.a	1.a	$1$	$10$	$10$	$60.870$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-5\)	\(-10\)		$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{6}q^{5}-q^{7}+\cdots\)