Newform search results

Results (17 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
4508.2.a.a	$4508$	$2$	4508.a	1.a	$1$	$1$	$1$	$35.997$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{9}+q^{13}+6q^{17}-2q^{19}+\cdots\)
4508.2.a.b	$4508$	$2$	4508.a	1.a	$1$	$1$	$1$	$35.997$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}-2q^{9}-2q^{11}+q^{13}+\cdots\)
4508.2.a.c	$4508$	$2$	4508.a	1.a	$1$	$1$	$1$	$35.997$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{9}-2q^{11}+3q^{13}-q^{23}+\cdots\)
4508.2.a.d	$4508$	$2$	4508.a	1.a	$1$	$1$	$1$	$35.997$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+2q^{5}+6q^{9}+2q^{11}+5q^{13}+\cdots\)
4508.2.a.e	$4508$	$2$	4508.a	1.a	$1$	$4$	$4$	$35.997$	\(\Q(\zeta_{24})^+\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-1+\beta _{2})q^{9}-2\beta _{2}q^{11}+\cdots\)
4508.2.a.f	$4508$	$2$	4508.a	1.a	$1$	$5$	$5$	$35.997$	5.5.6963152.1	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-2\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(-1+\beta _{2}-\beta _{3})q^{5}+\cdots\)
4508.2.a.g	$4508$	$2$	4508.a	1.a	$1$	$5$	$5$	$35.997$	5.5.8580816.1	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-4\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1-\beta _{4})q^{5}+(2+\beta _{2}+\beta _{3}+\cdots)q^{9}+\cdots\)
4508.2.a.h	$4508$	$2$	4508.a	1.a	$1$	$6$	$6$	$35.997$	6.6.217653248.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-\beta _{1}+\beta _{5})q^{5}+(1+\beta _{2}+\cdots)q^{9}+\cdots\)
4508.2.a.i	$4508$	$2$	4508.a	1.a	$1$	$6$	$6$	$35.997$	6.6.524361728.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(\beta _{1}+\beta _{3})q^{5}+(1+\beta _{2})q^{9}+\cdots\)
4508.2.a.j	$4508$	$2$	4508.a	1.a	$1$	$6$	$6$	$35.997$	6.6.73156608.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{5})q^{5}+(1+\beta _{3}+\cdots)q^{9}+\cdots\)
4508.2.a.k	$4508$	$2$	4508.a	1.a	$1$	$7$	$7$	$35.997$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-5\)	\(-2\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+\beta _{5}q^{5}+(1-\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
4508.2.a.l	$4508$	$2$	4508.a	1.a	$1$	$7$	$7$	$35.997$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-2\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{4}q^{3}-\beta _{5}q^{5}+(1+\beta _{1}-\beta _{4}+\beta _{5}+\cdots)q^{9}+\cdots\)
4508.2.a.m	$4508$	$2$	4508.a	1.a	$1$	$7$	$7$	$35.997$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{4}q^{3}+\beta _{5}q^{5}+(1+\beta _{1}-\beta _{4}+\beta _{5}+\cdots)q^{9}+\cdots\)
4508.2.a.n	$4508$	$2$	4508.a	1.a	$1$	$7$	$7$	$35.997$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(5\)	\(2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}-\beta _{5}q^{5}+(1-\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
4508.2.a.o	$4508$	$2$	4508.a	1.a	$1$	$10$	$10$	$35.997$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{4}q^{5}+\beta _{2}q^{9}+(\beta _{5}+\beta _{6}+\cdots)q^{11}+\cdots\)
4508.2.d.a	$4508$	$2$	4508.d	161.c	$2$	$32$	$32$	$35.997$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
4508.2.d.b	$4508$	$2$	4508.d	161.c	$2$	$48$	$48$	$35.997$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$