Newform search results

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

Results (5 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	7	23
4025.2.a.e	$4025$	$2$	4025.a	1.a	$1$	$1$	$1$	$32.140$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-q^{7}-3q^{8}-3q^{9}+4q^{11}+\cdots\)
4025.2.a.m	$4025$	$2$	4025.a	1.a	$1$	$4$	$4$	$32.140$	4.4.7537.1	None	✓	$1$	$0$	\(-1\)	\(-4\)	\(0\)	\(-4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1-\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
4025.2.a.o	$4025$	$2$	4025.a	1.a	$1$	$4$	$4$	$32.140$	4.4.2777.1	None	✓	$1$	$0$	\(2\)	\(5\)	\(0\)	\(-4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{3})q^{2}+(1+\beta _{1})q^{3}+(1-\beta _{2}+\cdots)q^{4}+\cdots\)
4025.2.a.p	$4025$	$2$	4025.a	1.a	$1$	$5$	$5$	$32.140$	5.5.2147108.1	None	✓	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(-5\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(2+\beta _{2})q^{4}+(-\beta _{2}+\cdots)q^{6}+\cdots\)
4025.2.a.v	$4025$	$2$	4025.a	1.a	$1$	$8$	$8$	$32.140$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(4\)	\(0\)	\(-8\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)