Newform search results

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

Results (12 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	19
9025.2.a.b	$9025$	$2$	9025.a	1.a	$1$	$1$	$1$	$72.065$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+4q^{7}-3q^{9}-q^{11}+\cdots\)
9025.2.a.i	$9025$	$2$	9025.a	1.a	$1$	$1$	$1$	$72.065$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-4q^{7}-3q^{9}-q^{11}+\cdots\)
9025.2.a.p	$9025$	$2$	9025.a	1.a	$1$	$2$	$2$	$72.065$	\(\Q(\sqrt{19}) \)	\(\Q(\sqrt{-19}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}-\beta q^{7}-3q^{9}+5q^{11}+4q^{16}+\cdots\)
9025.2.a.bm	$9025$	$2$	9025.a	1.a	$1$	$4$	$4$	$72.065$	\(\Q(\zeta_{20})^+\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(8\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
9025.2.a.bu	$9025$	$2$	9025.a	1.a	$1$	$6$	$6$	$72.065$	6.6.4227136.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{5})q^{2}+(\beta _{1}-\beta _{4}+\beta _{5})q^{3}+\cdots\)
9025.2.a.bw	$9025$	$2$	9025.a	1.a	$1$	$6$	$6$	$72.065$	6.6.71593280.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{5})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
9025.2.a.bz	$9025$	$2$	9025.a	1.a	$1$	$6$	$6$	$72.065$	6.6.41289040.1	None	✓	$1$	$0$	\(2\)	\(3\)	\(0\)	\(2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{4}q^{2}+(1-\beta _{1}-\beta _{3})q^{3}+(-\beta _{3}+\cdots)q^{4}+\cdots\)
9025.2.a.cb	$9025$	$2$	9025.a	1.a	$1$	$8$	$8$	$72.065$	8.8.\(\cdots\).1	\(\Q(\sqrt{-95}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{4}$	$N(\mathrm{U}(1))$	\(q+\beta _{1}q^{2}-\beta _{5}q^{3}+(2+\beta _{2})q^{4}+(-\beta _{3}+\cdots)q^{6}+\cdots\)
9025.2.a.co	$9025$	$2$	9025.a	1.a	$1$	$20$	$20$	$72.065$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(8\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{16}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
9025.2.a.cs	$9025$	$2$	9025.a	1.a	$1$	$21$	$21$	$72.065$		None	✓	$1$	$0$	\(6\)	\(9\)	\(0\)	\(0\)		$-$	$+$	$-$		$\mathrm{SU}(2)$
9025.2.a.cu	$9025$	$2$	9025.a	1.a	$1$	$24$	$24$	$72.065$		None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$		$\mathrm{SU}(2)$
9025.2.a.cv	$9025$	$2$	9025.a	1.a	$1$	$40$	$40$	$72.065$		None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$		$\mathrm{SU}(2)$