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	5	7
2205.4.a.h	$2205$	$4$	2205.a	1.a	$1$	$1$	$1$	$130.099$	\(\Q\)	None	✓	$1$	$0$	\(-3\)	\(0\)	\(5\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}+q^{4}+5q^{5}+21q^{8}-15q^{10}+\cdots\)
2205.4.a.bd	$2205$	$4$	2205.a	1.a	$1$	$2$	$2$	$130.099$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(4\)	\(0\)	\(10\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{2}+(-2+4\beta )q^{4}+5q^{5}+\cdots\)
2205.4.a.bq	$2205$	$4$	2205.a	1.a	$1$	$4$	$4$	$130.099$	4.4.51264.1	None	✓	$1$	$0$	\(6\)	\(0\)	\(20\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(2-\beta _{1}-\beta _{2})q^{2}+(6-\beta _{1}-\beta _{2}+2\beta _{3})q^{4}+\cdots\)
2205.4.a.bu	$2205$	$4$	2205.a	1.a	$1$	$5$	$5$	$130.099$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(25\)	\(0\)		$-$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(7+\beta _{3})q^{4}+5q^{5}+(-4+\cdots)q^{8}+\cdots\)
2205.4.a.bw	$2205$	$4$	2205.a	1.a	$1$	$5$	$5$	$130.099$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(25\)	\(0\)		$-$	$-$	$+$	$+$	$2\cdot 7$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(4+\beta _{1}+\beta _{2})q^{4}+5q^{5}+\cdots\)
2205.4.a.ca	$2205$	$4$	2205.a	1.a	$1$	$6$	$6$	$130.099$	6.6.1163891200.1	None	✓	$1$	$0$	\(2\)	\(0\)	\(30\)	\(0\)		$-$	$-$	$+$	$+$	$2\cdot 7$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+3\beta _{1}+2\beta _{2}-\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots\)
2205.4.a.ce	$2205$	$4$	2205.a	1.a	$1$	$8$	$8$	$130.099$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(40\)	\(0\)		$-$	$-$	$+$	$+$	$2\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(6+\beta _{1}+\beta _{2})q^{4}+5q^{5}+\cdots\)